a
To find : The area of a square with given side
a
Answer to Problem 5PSA
The area is
Explanation of Solution
Given information : The following information has been given
The length of the square
Formula used : The area of any square will be
Calculation : We know that the area of any square will be
Hence, substituting the values from the given information, we get
Thus, we get
b
To find : The area of a square with given diagonal
b
Answer to Problem 5PSA
The area is
Explanation of Solution
Given information : The following information has been given
The diagonal of the square
Formula used : The area of any square will be
Calculation : we calculate the length of the square from the diagonal as
We know that the area of any square will be
Hence, substituting the values from the given information, we get
Thus, we get
c
To find : The side of a square with given area
c
Answer to Problem 5PSA
The side is
Explanation of Solution
Given information : The following information has been given
The area of the square
Formula used : The area of any square will be
Calculation : We know that the area of any square will be
Hence, substituting the values from the given information, we get
Thus, we get
d
To find : The perimeter of a square with given area
d
Answer to Problem 5PSA
The perimeter is
Explanation of Solution
Given information : The following information has been given
The area of the square
Formula used : The area of any square will be
Calculation : We know that the area of any square will be
Hence, substituting the values from the given information, we get
Thus, we get
We know that the perimeter of any square will be
Hence, substituting the values from the given information, we get
Thus, we get
e
To find : The area of a square with given perimeter
e
Answer to Problem 5PSA
The area is
Explanation of Solution
Given information : The following information has been given
The perimeter of square
Formula used : The area of any square will be
Calculation : we calculate the side of the square from the perimeter as
We know that the area of any square will be
Hence, substituting the values from the given information, we get
Thus, we get
Chapter 11 Solutions
Geometry For Enjoyment And Challenge
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