Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Chapter 4.3, Problem 36WE
To determine

To Find: The perimeter and area of the below shaded region

  Algebra: Structure And Method, Book 1, Chapter 4.3, Problem 36WE , additional homework tip  1

Expert Solution & Answer
Check Mark

Answer to Problem 36WE

The required Area =11x2

The required Perimeter =20x

Explanation of Solution

Given information:

The diagram:

  Algebra: Structure And Method, Book 1, Chapter 4.3, Problem 36WE , additional homework tip  2

Concept Used:

Rule of exponents for product of powers states that to multiply two powers with same base, the exponents are added.

For example aman=am+n

Commutative property of multiplication states that the product of any numbers remains the same irrespective of the order in which we multiply.

For example:

  25=52=10

Associative property of multiplication states that the product of the any numbers remains the same regardless of the grouping of factors.

For example:

  2(53)=(25)3=30

Area of a rectangle =lengthwidth

Perimeter of a rectangle =2(length+width)

Calculation:

Name the given diagram and join DE such that DEFG

  Algebra: Structure And Method, Book 1, Chapter 4.3, Problem 36WE , additional homework tip  3

Now there is two Rectangle ABCE and DEFG

From the diagram:

  AC=2xCD=xFG=3xBG=3xCE=CD+DEDE=FGCE=x+3x=4xNow,BG=BE+EG3x=2x+EGEG=3x2xEG=x

So, for rectangle ABCE

Length =CE=4x

Width =AC=2x

Area of rectangle ABCE =lengthwidth

Substituting the known value

Area of a rectangle =4x2x

Commutative and Associative property of multiplication.

  =(42)(xx)

Using rule of exponents for product of powers

  =8x1+1=8x2

Similarly, for rectangle DEFG

Length =DE=3x

Width =EG=x

Area of rectangle DEFG =lengthwidth

Substituting the known value

Area of rectangle DEFG =3xx

Commutative and Associative property of multiplication.

  =3(xx)

Using rule of exponents for product of powers

  =3x1+1=3x2

Area of the shaded region = Area of rectangle ABCE + Area of rectangle DEFG

Substituting the known value

Area of the shaded region

  =8x2+3x2=11x2

Perimeter of rectangle ABCE =2(length+width)

Substituting the known value

Perimeter of rectangle ABCE =2(4x+2x)

  =26x=12x

Perimeter of rectangle DEFG =2(length+width)

Substituting the known value

Perimeter of rectangle ABCE =2(4x+2x)

  =2(3x+x)=24x=8x

Perimeter of the shaded region = Perimeter of rectangle ABCE + Perimeter of rectangle DEFG

Substituting the known value

Perimeter of the shaded region

  =12x+8x=20x

Substituting the known value

  =2(3ab+2ab)=25ab=10ab

Chapter 4 Solutions

Algebra: Structure And Method, Book 1

Ch. 4.1 - Prob. 11OECh. 4.1 - Prob. 12OECh. 4.1 - Prob. 13OECh. 4.1 - Prob. 14OECh. 4.1 - Prob. 15OECh. 4.1 - Prob. 16OECh. 4.1 - Prob. 17OECh. 4.1 - Prob. 18OECh. 4.1 - Prob. 19OECh. 4.1 - Prob. 20OECh. 4.1 - Prob. 21OECh. 4.1 - Prob. 22OECh. 4.1 - Prob. 23OECh. 4.1 - Prob. 24OECh. 4.1 - Prob. 25OECh. 4.1 - Prob. 26OECh. 4.1 - Prob. 27OECh. 4.1 - Prob. 28OECh. 4.1 - Prob. 29OECh. 4.1 - Prob. 30OECh. 4.1 - Prob. 31OECh. 4.1 - Prob. 32OECh. 4.1 - Prob. 33OECh. 4.1 - Prob. 34OECh. 4.1 - Prob. 35OECh. 4.1 - Prob. 36OECh. 4.1 - Prob. 1WECh. 4.1 - Prob. 2WECh. 4.1 - Prob. 3WECh. 4.1 - Prob. 4WECh. 4.1 - Prob. 5WECh. 4.1 - Prob. 6WECh. 4.1 - Prob. 7WECh. 4.1 - Prob. 8WECh. 4.1 - Prob. 9WECh. 4.1 - Prob. 10WECh. 4.1 - Prob. 11WECh. 4.1 - Prob. 12WECh. 4.1 - Prob. 13WECh. 4.1 - Prob. 14WECh. 4.1 - Prob. 15WECh. 4.1 - Prob. 16WECh. 4.1 - Prob. 17WECh. 4.1 - Prob. 18WECh. 4.1 - Prob. 19WECh. 4.1 - Prob. 20WECh. 4.1 - Prob. 21WECh. 4.1 - Prob. 22WECh. 4.1 - Prob. 23WECh. 4.1 - Prob. 24WECh. 4.1 - Prob. 25WECh. 4.1 - Prob. 26WECh. 4.1 - Prob. 27WECh. 4.1 - Prob. 28WECh. 4.1 - Prob. 29WECh. 4.1 - Prob. 30WECh. 4.1 - Prob. 31WECh. 4.1 - Prob. 32WECh. 4.1 - Prob. 33WECh. 4.1 - Prob. 34WECh. 4.1 - Prob. 35WECh. 4.1 - Prob. 36WECh. 4.1 - Prob. 37WECh. 4.1 - Prob. 38WECh. 4.1 - Prob. 39WECh. 4.1 - Prob. 40WECh. 4.1 - Prob. 41WECh. 4.1 - Prob. 42WECh. 4.1 - Prob. 43WECh. 4.1 - Prob. 44WECh. 4.1 - Prob. 45WECh. 4.1 - Prob. 46WECh. 4.1 - Prob. 47WECh. 4.1 - Prob. 48WECh. 4.1 - Prob. 49WECh. 4.1 - Prob. 1MRECh. 4.1 - Prob. 2MRECh. 4.1 - Prob. 3MRECh. 4.1 - Prob. 4MRECh. 4.1 - Prob. 5MRECh. 4.1 - Prob. 6MRECh. 4.1 - Prob. 7MRECh. 4.1 - Prob. 8MRECh. 4.1 - Prob. 9MRECh. 4.1 - Prob. 1CECh. 4.1 - Prob. 2CECh. 4.1 - Prob. 3CECh. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.2 - Prob. 1OECh. 4.2 - Prob. 2OECh. 4.2 - Prob. 3OECh. 4.2 - Prob. 4OECh. 4.2 - Prob. 5OECh. 4.2 - Prob. 6OECh. 4.2 - Prob. 7OECh. 4.2 - Prob. 8OECh. 4.2 - Prob. 9OECh. 4.2 - Prob. 10OECh. 4.2 - Prob. 11OECh. 4.2 - Prob. 12OECh. 4.2 - Prob. 13OECh. 4.2 - Prob. 14OECh. 4.2 - Prob. 15OECh. 4.2 - Prob. 16OECh. 4.2 - Prob. 17OECh. 4.2 - Prob. 18OECh. 4.2 - Prob. 19OECh. 4.2 - Prob. 20OECh. 4.2 - Prob. 21OECh. 4.2 - Prob. 22OECh. 4.2 - Prob. 23OECh. 4.2 - Prob. 24OECh. 4.2 - Prob. 25OECh. 4.2 - Prob. 26OECh. 4.2 - Prob. 27OECh. 4.2 - Prob. 28OECh. 4.2 - Prob. 29OECh. 4.2 - Prob. 30OECh. 4.2 - Prob. 31OECh. 4.2 - Prob. 32OECh. 4.2 - Prob. 33OECh. 4.2 - Prob. 34OECh. 4.2 - Prob. 35OECh. 4.2 - Prob. 36OECh. 4.2 - Prob. 37OECh. 4.2 - Prob. 38OECh. 4.2 - Prob. 1WECh. 4.2 - Prob. 2WECh. 4.2 - Prob. 3WECh. 4.2 - Prob. 4WECh. 4.2 - Prob. 5WECh. 4.2 - Prob. 6WECh. 4.2 - Prob. 7WECh. 4.2 - Prob. 8WECh. 4.2 - Prob. 9WECh. 4.2 - Prob. 10WECh. 4.2 - Prob. 11WECh. 4.2 - Prob. 12WECh. 4.2 - Prob. 13WECh. 4.2 - Prob. 14WECh. 4.2 - Prob. 15WECh. 4.2 - Prob. 16WECh. 4.2 - Prob. 17WECh. 4.2 - Prob. 18WECh. 4.2 - Prob. 19WECh. 4.2 - Prob. 20WECh. 4.2 - 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Prob. 3MRECh. 4.2 - Prob. 4MRECh. 4.2 - Prob. 5MRECh. 4.2 - Prob. 6MRECh. 4.2 - Prob. 7MRECh. 4.2 - Prob. 8MRECh. 4.2 - Prob. 9MRECh. 4.2 - Prob. 10MRECh. 4.2 - Prob. 1CECh. 4.2 - Prob. 2CECh. 4.2 - Prob. 3CECh. 4.2 - Prob. 4CECh. 4.2 - Prob. 1STCh. 4.2 - Prob. 2STCh. 4.2 - Prob. 3STCh. 4.2 - Prob. 4STCh. 4.2 - Prob. 5STCh. 4.2 - Prob. 6STCh. 4.2 - Prob. 7STCh. 4.2 - Prob. 8STCh. 4.2 - Prob. 9STCh. 4.2 - Prob. 10STCh. 4.2 - Prob. 11STCh. 4.2 - Prob. 12STCh. 4.2 - Prob. 13STCh. 4.3 - Prob. 1OECh. 4.3 - Prob. 2OECh. 4.3 - Prob. 3OECh. 4.3 - Prob. 4OECh. 4.3 - Prob. 5OECh. 4.3 - Prob. 6OECh. 4.3 - Prob. 7OECh. 4.3 - Prob. 8OECh. 4.3 - Prob. 9OECh. 4.3 - Prob. 10OECh. 4.3 - Prob. 11OECh. 4.3 - Prob. 12OECh. 4.3 - Prob. 13OECh. 4.3 - Prob. 14OECh. 4.3 - Prob. 15OECh. 4.3 - Prob. 16OECh. 4.3 - Prob. 17OECh. 4.3 - Prob. 18OECh. 4.3 - Prob. 19OECh. 4.3 - Prob. 20OECh. 4.3 - Prob. 1WECh. 4.3 - Prob. 2WECh. 4.3 - Prob. 3WECh. 4.3 - Prob. 4WECh. 4.3 - Prob. 5WECh. 4.3 - Prob. 6WECh. 4.3 - Prob. 7WECh. 4.3 - Prob. 8WECh. 4.3 - Prob. 9WECh. 4.3 - Prob. 10WECh. 4.3 - Prob. 11WECh. 4.3 - Prob. 12WECh. 4.3 - Prob. 13WECh. 4.3 - Prob. 14WECh. 4.3 - Prob. 15WECh. 4.3 - Prob. 16WECh. 4.3 - Prob. 17WECh. 4.3 - Prob. 18WECh. 4.3 - Prob. 19WECh. 4.3 - Prob. 20WECh. 4.3 - Prob. 21WECh. 4.3 - Prob. 22WECh. 4.3 - Prob. 23WECh. 4.3 - Prob. 24WECh. 4.3 - Prob. 25WECh. 4.3 - Prob. 26WECh. 4.3 - Prob. 27WECh. 4.3 - Prob. 28WECh. 4.3 - Prob. 29WECh. 4.3 - Prob. 30WECh. 4.3 - Prob. 31WECh. 4.3 - Prob. 32WECh. 4.3 - Prob. 33WECh. 4.3 - Prob. 34WECh. 4.3 - Prob. 35WECh. 4.3 - Prob. 36WECh. 4.3 - Prob. 37WECh. 4.3 - Prob. 38WECh. 4.3 - Prob. 39WECh. 4.3 - Prob. 40WECh. 4.3 - Prob. 41WECh. 4.3 - Prob. 42WECh. 4.3 - Prob. 43WECh. 4.3 - Prob. 44WECh. 4.3 - Prob. 45WECh. 4.3 - Prob. 46WECh. 4.3 - Prob. 47WECh. 4.3 - Prob. 48WECh. 4.3 - Prob. 49WECh. 4.3 - Prob. 50WECh. 4.3 - Prob. 51WECh. 4.3 - Prob. 52WECh. 4.3 - Prob. 1MRECh. 4.3 - Prob. 2MRECh. 4.3 - Prob. 3MRECh. 4.3 - Prob. 4MRECh. 4.3 - Prob. 5MRECh. 4.3 - Prob. 6MRECh. 4.3 - Prob. 7MRECh. 4.3 - Prob. 8MRECh. 4.3 - Prob. 9MRECh. 4.3 - Prob. 10MRECh. 4.3 - Prob. 11MRECh. 4.3 - Prob. 12MRECh. 4.4 - Prob. 1OECh. 4.4 - Prob. 2OECh. 4.4 - Prob. 3OECh. 4.4 - Prob. 4OECh. 4.4 - Prob. 5OECh. 4.4 - Prob. 6OECh. 4.4 - Prob. 7OECh. 4.4 - Prob. 8OECh. 4.4 - Prob. 9OECh. 4.4 - Prob. 10OECh. 4.4 - Prob. 11OECh. 4.4 - Prob. 12OECh. 4.4 - Prob. 13OECh. 4.4 - Prob. 14OECh. 4.4 - Prob. 15OECh. 4.4 - Prob. 16OECh. 4.4 - Prob. 17OECh. 4.4 - Prob. 18OECh. 4.4 - Prob. 19OECh. 4.4 - Prob. 20OECh. 4.4 - Prob. 21OECh. 4.4 - Prob. 22OECh. 4.4 - Prob. 23OECh. 4.4 - Prob. 24OECh. 4.4 - Prob. 25OECh. 4.4 - Prob. 26OECh. 4.4 - Prob. 27OECh. 4.4 - Prob. 28OECh. 4.4 - Prob. 1WECh. 4.4 - Prob. 2WECh. 4.4 - Prob. 3WECh. 4.4 - Prob. 4WECh. 4.4 - Prob. 5WECh. 4.4 - Prob. 6WECh. 4.4 - Prob. 7WECh. 4.4 - Prob. 8WECh. 4.4 - Prob. 9WECh. 4.4 - Prob. 10WECh. 4.4 - Prob. 11WECh. 4.4 - Prob. 12WECh. 4.4 - Prob. 13WECh. 4.4 - Prob. 14WECh. 4.4 - Prob. 15WECh. 4.4 - Prob. 16WECh. 4.4 - Prob. 17WECh. 4.4 - Prob. 18WECh. 4.4 - Prob. 19WECh. 4.4 - Prob. 20WECh. 4.4 - Prob. 21WECh. 4.4 - Prob. 22WECh. 4.4 - Prob. 23WECh. 4.4 - Prob. 24WECh. 4.4 - Prob. 25WECh. 4.4 - Prob. 26WECh. 4.4 - Prob. 27WECh. 4.4 - Prob. 28WECh. 4.4 - Prob. 29WECh. 4.4 - Prob. 30WECh. 4.4 - Prob. 31WECh. 4.4 - Prob. 32WECh. 4.4 - Prob. 33WECh. 4.4 - Prob. 34WECh. 4.4 - Prob. 35WECh. 4.4 - Prob. 36WECh. 4.4 - Prob. 37WECh. 4.4 - Prob. 38WECh. 4.4 - Prob. 39WECh. 4.4 - Prob. 40WECh. 4.4 - Prob. 41WECh. 4.4 - Prob. 42WECh. 4.4 - Prob. 43WECh. 4.4 - Prob. 44WECh. 4.4 - Prob. 45WECh. 4.4 - Prob. 46WECh. 4.4 - Prob. 47WECh. 4.4 - Prob. 48WECh. 4.4 - Prob. 49WECh. 4.4 - Prob. 50WECh. 4.4 - Prob. 51WECh. 4.4 - Prob. 52WECh. 4.4 - Prob. 53WECh. 4.4 - Prob. 1MRECh. 4.4 - Prob. 2MRECh. 4.4 - Prob. 3MRECh. 4.4 - Prob. 4MRECh. 4.4 - Prob. 5MRECh. 4.4 - Prob. 6MRECh. 4.4 - Prob. 7MRECh. 4.4 - Prob. 8MRECh. 4.4 - Prob. 9MRECh. 4.5 - Prob. 1OECh. 4.5 - Prob. 2OECh. 4.5 - Prob. 3OECh. 4.5 - Prob. 4OECh. 4.5 - Prob. 5OECh. 4.5 - Prob. 6OECh. 4.5 - Prob. 7OECh. 4.5 - Prob. 8OECh. 4.5 - Prob. 9OECh. 4.5 - Prob. 10OECh. 4.5 - Prob. 11OECh. 4.5 - Prob. 12OECh. 4.5 - Prob. 1WECh. 4.5 - Prob. 2WECh. 4.5 - Prob. 3WECh. 4.5 - Prob. 4WECh. 4.5 - Prob. 5WECh. 4.5 - Prob. 6WECh. 4.5 - Prob. 7WECh. 4.5 - Prob. 8WECh. 4.5 - Prob. 9WECh. 4.5 - Prob. 10WECh. 4.5 - Prob. 11WECh. 4.5 - Prob. 12WECh. 4.5 - Prob. 13WECh. 4.5 - Prob. 14WECh. 4.5 - Prob. 15WECh. 4.5 - Prob. 16WECh. 4.5 - Prob. 17WECh. 4.5 - Prob. 18WECh. 4.5 - Prob. 19WECh. 4.5 - Prob. 20WECh. 4.5 - Prob. 21WECh. 4.5 - Prob. 22WECh. 4.5 - Prob. 23WECh. 4.5 - Prob. 24WECh. 4.5 - Prob. 25WECh. 4.5 - Prob. 26WECh. 4.5 - Prob. 27WECh. 4.5 - Prob. 28WECh. 4.5 - Prob. 29WECh. 4.5 - Prob. 30WECh. 4.5 - Prob. 31WECh. 4.5 - Prob. 32WECh. 4.5 - Prob. 33WECh. 4.5 - Prob. 34WECh. 4.5 - Prob. 35WECh. 4.5 - Prob. 36WECh. 4.5 - Prob. 37WECh. 4.5 - Prob. 38WECh. 4.5 - Prob. 39WECh. 4.5 - Prob. 40WECh. 4.5 - Prob. 41WECh. 4.5 - Prob. 42WECh. 4.5 - Prob. 43WECh. 4.5 - Prob. 44WECh. 4.5 - Prob. 1MRECh. 4.5 - Prob. 2MRECh. 4.5 - Prob. 3MRECh. 4.5 - Prob. 4MRECh. 4.5 - Prob. 5MRECh. 4.5 - Prob. 6MRECh. 4.5 - Prob. 7MRECh. 4.5 - Prob. 8MRECh. 4.5 - Prob. 9MRECh. 4.6 - Prob. 1OECh. 4.6 - Prob. 2OECh. 4.6 - Prob. 3OECh. 4.6 - Prob. 4OECh. 4.6 - Prob. 5OECh. 4.6 - Prob. 6OECh. 4.6 - Prob. 7OECh. 4.6 - Prob. 8OECh. 4.6 - Prob. 9OECh. 4.6 - Prob. 10OECh. 4.6 - Prob. 11OECh. 4.6 - Prob. 12OECh. 4.6 - Prob. 13OECh. 4.6 - Prob. 14OECh. 4.6 - Prob. 1WECh. 4.6 - Prob. 2WECh. 4.6 - Prob. 3WECh. 4.6 - Prob. 4WECh. 4.6 - Prob. 5WECh. 4.6 - Prob. 6WECh. 4.6 - Prob. 7WECh. 4.6 - Prob. 8WECh. 4.6 - Prob. 9WECh. 4.6 - Prob. 10WECh. 4.6 - Prob. 11WECh. 4.6 - Prob. 12WECh. 4.6 - Prob. 13WECh. 4.6 - Prob. 14WECh. 4.6 - Prob. 15WECh. 4.6 - Prob. 16WECh. 4.6 - Prob. 17WECh. 4.6 - Prob. 18WECh. 4.6 - Prob. 19WECh. 4.6 - Prob. 20WECh. 4.6 - Prob. 21WECh. 4.6 - Prob. 22WECh. 4.6 - Prob. 23WECh. 4.6 - Prob. 24WECh. 4.6 - Prob. 25WECh. 4.6 - Prob. 26WECh. 4.6 - Prob. 27WECh. 4.6 - Prob. 28WECh. 4.6 - Prob. 29WECh. 4.6 - Prob. 30WECh. 4.6 - Prob. 31WECh. 4.6 - Prob. 32WECh. 4.6 - Prob. 33WECh. 4.6 - Prob. 34WECh. 4.6 - Prob. 35WECh. 4.6 - Prob. 36WECh. 4.6 - Prob. 37WECh. 4.6 - Prob. 38WECh. 4.6 - Prob. 39WECh. 4.6 - Prob. 40WECh. 4.6 - Prob. 41WECh. 4.6 - Prob. 42WECh. 4.6 - Prob. 43WECh. 4.6 - Prob. 44WECh. 4.6 - Prob. 45WECh. 4.6 - Prob. 46WECh. 4.6 - Prob. 47WECh. 4.6 - Prob. 48WECh. 4.6 - Prob. 49WECh. 4.6 - Prob. 50WECh. 4.6 - Prob. 1MRECh. 4.6 - Prob. 2MRECh. 4.6 - Prob. 3MRECh. 4.6 - Prob. 4MRECh. 4.6 - Prob. 5MRECh. 4.6 - Prob. 6MRECh. 4.6 - Prob. 7MRECh. 4.6 - Prob. 8MRECh. 4.6 - Prob. 9MRECh. 4.6 - Prob. 1STCh. 4.6 - Prob. 2STCh. 4.6 - Prob. 3STCh. 4.6 - Prob. 4STCh. 4.6 - Prob. 5STCh. 4.6 - Prob. 6STCh. 4.6 - Prob. 7STCh. 4.6 - Prob. 8STCh. 4.6 - Prob. 9STCh. 4.6 - Prob. 10STCh. 4.6 - Prob. 11STCh. 4.6 - Prob. 12STCh. 4.6 - Prob. 13STCh. 4.6 - Prob. 14STCh. 4.6 - Prob. 15STCh. 4.7 - Prob. 1OECh. 4.7 - Prob. 2OECh. 4.7 - Prob. 3OECh. 4.7 - Prob. 4OECh. 4.7 - Prob. 5OECh. 4.7 - Prob. 6OECh. 4.7 - Prob. 7OECh. 4.7 - Prob. 8OECh. 4.7 - Prob. 9OECh. 4.7 - Prob. 10OECh. 4.7 - Prob. 11OECh. 4.7 - Prob. 12OECh. 4.7 - Prob. 1WECh. 4.7 - Prob. 2WECh. 4.7 - Prob. 3WECh. 4.7 - Prob. 4WECh. 4.7 - Prob. 5WECh. 4.7 - Prob. 6WECh. 4.7 - Prob. 7WECh. 4.7 - Prob. 8WECh. 4.7 - Prob. 9WECh. 4.7 - Prob. 10WECh. 4.7 - Prob. 11WECh. 4.7 - Prob. 12WECh. 4.7 - Prob. 13WECh. 4.7 - Prob. 14WECh. 4.7 - Prob. 15WECh. 4.7 - Prob. 16WECh. 4.7 - Prob. 17WECh. 4.7 - Prob. 18WECh. 4.7 - Prob. 19WECh. 4.7 - Prob. 20WECh. 4.7 - Prob. 21WECh. 4.7 - Prob. 22WECh. 4.7 - Prob. 23WECh. 4.7 - Prob. 24WECh. 4.7 - Prob. 25WECh. 4.7 - Prob. 26WECh. 4.7 - Prob. 27WECh. 4.7 - Prob. 28WECh. 4.7 - Prob. 29WECh. 4.7 - Prob. 1MRECh. 4.7 - Prob. 2MRECh. 4.7 - Prob. 3MRECh. 4.7 - Prob. 4MRECh. 4.7 - Prob. 5MRECh. 4.7 - Prob. 6MRECh. 4.7 - Prob. 7MRECh. 4.7 - Prob. 8MRECh. 4.8 - Prob. 1OECh. 4.8 - Prob. 2OECh. 4.8 - Prob. 3OECh. 4.8 - Prob. 4OECh. 4.8 - Prob. 1PCh. 4.8 - Prob. 2PCh. 4.8 - Prob. 3PCh. 4.8 - Prob. 4PCh. 4.8 - Prob. 5PCh. 4.8 - Prob. 6PCh. 4.8 - Prob. 7PCh. 4.8 - Prob. 8PCh. 4.8 - Prob. 9PCh. 4.8 - Prob. 10PCh. 4.8 - Prob. 11PCh. 4.8 - Prob. 12PCh. 4.8 - Prob. 13PCh. 4.8 - Prob. 14PCh. 4.8 - Prob. 15PCh. 4.8 - Prob. 16PCh. 4.8 - Prob. 17PCh. 4.8 - Prob. 18PCh. 4.8 - Prob. 19PCh. 4.8 - Prob. 20PCh. 4.8 - Prob. 1MRECh. 4.8 - Prob. 2MRECh. 4.8 - Prob. 3MRECh. 4.8 - Prob. 4MRECh. 4.8 - Prob. 5MRECh. 4.8 - Prob. 6MRECh. 4.8 - Prob. 7MRECh. 4.8 - Prob. 8MRECh. 4.9 - Prob. 1OECh. 4.9 - Prob. 2OECh. 4.9 - Prob. 1PCh. 4.9 - Prob. 2PCh. 4.9 - Prob. 3PCh. 4.9 - Prob. 4PCh. 4.9 - Prob. 5PCh. 4.9 - Prob. 6PCh. 4.9 - Prob. 7PCh. 4.9 - Prob. 8PCh. 4.9 - Prob. 9PCh. 4.9 - Prob. 10PCh. 4.9 - Prob. 11PCh. 4.9 - Prob. 12PCh. 4.9 - Prob. 13PCh. 4.9 - Prob. 1MRECh. 4.9 - Prob. 2MRECh. 4.9 - Prob. 3MRECh. 4.9 - Prob. 4MRECh. 4.9 - Prob. 5MRECh. 4.9 - Prob. 6MRECh. 4.9 - Prob. 7MRECh. 4.9 - Prob. 8MRECh. 4.9 - Prob. 9MRECh. 4.9 - Prob. 10MRECh. 4.9 - Prob. 11MRECh. 4.9 - Prob. 12MRECh. 4.10 - Prob. 1PCh. 4.10 - Prob. 2PCh. 4.10 - Prob. 3PCh. 4.10 - Prob. 4PCh. 4.10 - Prob. 5PCh. 4.10 - Prob. 6PCh. 4.10 - Prob. 7PCh. 4.10 - Prob. 8PCh. 4.10 - Prob. 9PCh. 4.10 - Prob. 10PCh. 4.10 - Prob. 11PCh. 4.10 - Prob. 12PCh. 4.10 - Prob. 13PCh. 4.10 - Prob. 14PCh. 4.10 - Prob. 15PCh. 4.10 - Prob. 16PCh. 4.10 - Prob. 1STCh. 4.10 - Prob. 2STCh. 4.10 - Prob. 3STCh. 4.10 - Prob. 4STCh. 4 - Prob. 1CRCh. 4 - Prob. 2CRCh. 4 - Prob. 3CRCh. 4 - Prob. 4CRCh. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Prob. 9CRCh. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 15CRCh. 4 - Prob. 16CRCh. 4 - Prob. 17CRCh. 4 - Prob. 18CRCh. 4 - Prob. 1CTCh. 4 - Prob. 2CTCh. 4 - Prob. 3CTCh. 4 - Prob. 4CTCh. 4 - Prob. 5CTCh. 4 - Prob. 6CTCh. 4 - Prob. 7CTCh. 4 - Prob. 8CTCh. 4 - Prob. 9CTCh. 4 - Prob. 10CTCh. 4 - Prob. 11CTCh. 4 - Prob. 12CTCh. 4 - Prob. 13CTCh. 4 - Prob. 14CTCh. 4 - Prob. 15CTCh. 4 - Prob. 16CTCh. 4 - Prob. 17CTCh. 4 - Prob. 18CTCh. 4 - Prob. 19CTCh. 4 - Prob. 20CTCh. 4 - Prob. 21CTCh. 4 - Prob. 22CTCh. 4 - Prob. 1CLRCh. 4 - Prob. 2CLRCh. 4 - Prob. 3CLRCh. 4 - Prob. 4CLRCh. 4 - Prob. 5CLRCh. 4 - Prob. 6CLRCh. 4 - Prob. 7CLRCh. 4 - Prob. 8CLRCh. 4 - Prob. 9CLRCh. 4 - Prob. 10CLRCh. 4 - Prob. 11CLRCh. 4 - Prob. 12CLRCh. 4 - Prob. 13CLRCh. 4 - Prob. 14CLRCh. 4 - Prob. 15CLRCh. 4 - Prob. 16CLRCh. 4 - Prob. 17CLRCh. 4 - Prob. 18CLRCh. 4 - Prob. 19CLRCh. 4 - Prob. 20CLRCh. 4 - Prob. 21CLRCh. 4 - Prob. 22CLRCh. 4 - Prob. 23CLRCh. 4 - Prob. 24CLRCh. 4 - Prob. 25CLRCh. 4 - Prob. 26CLRCh. 4 - Prob. 27CLRCh. 4 - Prob. 28CLRCh. 4 - Prob. 29CLRCh. 4 - Prob. 30CLRCh. 4 - Prob. 31CLRCh. 4 - Prob. 32CLRCh. 4 - Prob. 33CLRCh. 4 - Prob. 34CLRCh. 4 - Prob. 35CLRCh. 4 - Prob. 36CLRCh. 4 - Prob. 37CLRCh. 4 - Prob. 38CLRCh. 4 - Prob. 39CLRCh. 4 - Prob. 40CLRCh. 4 - Prob. 1MSCh. 4 - Prob. 2MSCh. 4 - Prob. 3MSCh. 4 - Prob. 4MSCh. 4 - Prob. 5MSCh. 4 - Prob. 6MSCh. 4 - Prob. 7MSCh. 4 - Prob. 8MSCh. 4 - Prob. 9MSCh. 4 - Prob. 10MSCh. 4 - Prob. 11MSCh. 4 - Prob. 12MSCh. 4 - Prob. 13MSCh. 4 - Prob. 14MSCh. 4 - Prob. 15MSCh. 4 - Prob. 16MSCh. 4 - Prob. 17MSCh. 4 - Prob. 18MSCh. 4 - Prob. 19MSCh. 4 - Prob. 20MSCh. 4 - Prob. 21MSCh. 4 - Prob. 22MSCh. 4 - Prob. 23MSCh. 4 - Prob. 24MSCh. 4 - Prob. 25MSCh. 4 - Prob. 26MSCh. 4 - Prob. 27MSCh. 4 - Prob. 28MSCh. 4 - Prob. 29MSCh. 4 - Prob. 30MSCh. 4 - Prob. 31MS
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