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Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A. Modeling Division of Polynomials by a Monomial
1) You are decorating the bulletin board in your classroom with pictures of your classmates. Each
picture covers an area of 4x cm?.
The area of the board is 4x² + 16x cm?. Write an expression to represent how many pictures
are required to cover the board.
2) A rectangular lawn has a width of 3x m. The area is 15x² + 45x m². You wish to put a fence
around the lawn.
a) What is an expression to represent the perimeter of the lawn?
b) You are placing a post every 2 m. Find an expression to represent how many posts will be
required.
3) The area of Rectangle B is three times the area of Rectangle A. Provide each of your answers in
simplified form.
(2x+7)cm Rectangle A
Rectangle B
(4x) cm
a) Write an expression to represent the area of Rectangle A.
b) Determine an expression for the area of rectangle B.
c) If the width of Rectangle B can be represented by 12x, what is an expression
for the length of Rectangle B?
Transcribed Image Text:A. Modeling Division of Polynomials by a Monomial 1) You are decorating the bulletin board in your classroom with pictures of your classmates. Each picture covers an area of 4x cm?. The area of the board is 4x² + 16x cm?. Write an expression to represent how many pictures are required to cover the board. 2) A rectangular lawn has a width of 3x m. The area is 15x² + 45x m². You wish to put a fence around the lawn. a) What is an expression to represent the perimeter of the lawn? b) You are placing a post every 2 m. Find an expression to represent how many posts will be required. 3) The area of Rectangle B is three times the area of Rectangle A. Provide each of your answers in simplified form. (2x+7)cm Rectangle A Rectangle B (4x) cm a) Write an expression to represent the area of Rectangle A. b) Determine an expression for the area of rectangle B. c) If the width of Rectangle B can be represented by 12x, what is an expression for the length of Rectangle B?
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