a.
To write: and solve equation to find area of one rectangular mat.
a.
Answer to Problem 46E
Explanation of Solution
Given:
The big square mat has area
This mat uses 4 identical rectangular mats and one small square mat.
The area of square mat is half the area of the rectangular mats.
Let the area of the rectangular mats be x square feet’s.
Then, the area of the small square mat is
Now, the big square mat has area
Conclusion:
Thus, the area of the rectangular mats is
b.
To find: the dimensions of the rectangular mat.
b.
Answer to Problem 46E
Length = 6 feet
Width = 3 feet
Explanation of Solution
Given:
The area of the rectangular mat is
The length of rectangular mat is twice its width.
Let l be the length of the rectangular mat and w be the width of the rectangular mat.
Since, the length of rectangular mat is twice its width, it implies that:
Now, area of the rectangular mat is
Then the length of rectangular mat is,
Conclusion:
The length of rectangular mat is 6 feet and its width is 3 feet.
Chapter 1 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
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