Concept explainers
a.
To determine the possible values of
a.
Answer to Problem 43PPS
Explanation of Solution
Given:
Calculation:
From the given figures,
If
So, the possible values of x are
Conclusion:
Therefore, the possible values of
b.
To determine the shape having greater area.
b.
Answer to Problem 43PPS
square
Explanation of Solution
Given:
Formula used:
Area of square
Area of rectangle
Calculation:
Consider an example,
Suppose the value of
Area of the square
[
Area of the rectangle
[
The shape having greater area is always square.
So, taking any values of
Conclusion:
Therefore, the shape having greater area is always square.
c.
To determine the difference in area of the two.
c.
Answer to Problem 43PPS
Explanation of Solution
Given:
Formula used:
Area of rectangle
Calculation:
From the first figure, the side is
Area of square
[
Area of square
Now consider second figure.
Here, length
Area of rectangle
[
Area of rectangle
Now the difference in their area
Conclusion:
Therefore, the difference in area of the two is
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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