Concept explainers
a.
To write: An expression for the area of each square.
a.
Answer to Problem 51PFA
Area of the square of side length
Area of square of side length
Explanation of Solution
Given:
A square of side length
Calculation:
The area of side is given by
Hence, area of the square of side length
And the area of square of side length
b.
To find: The value of x
b.
Answer to Problem 51PFA
Explanation of Solution
Given:
The area of larger square is 15 square units more than the area of the smaller square.
Calculation:
From part (a)
Area of larger square is
Therefore,
Since, side length cannot ne negative. Hence, discard the value
Thus,
c.
To find: The area of each square using the value of x .
c.
Answer to Problem 51PFA
Area of the larger square is given by
Area of the smaller square is given by
Explanation of Solution
Given:
The value of x is 1
Calculation:
From part (a)
Area of larger square is
Substituting
Area of the larger square is given by
Area of the smaller square is given by
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