SOLUTION: A square whos sides are 5 cm longer than the width of a rectangle has the same Perimeter as the rectangle.If the Perimeter of the rectangle is 60 cm, find its Perimeter.

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Question 866562: A square whos sides are 5 cm longer than the width of a rectangle has the same Perimeter as the rectangle.If the Perimeter of the rectangle is 60 cm, find its Perimeter.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x = side length of the square
w = width of rectangle
L = length of rectangle
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x=w+5....


But none of the analysis is necessary because your description clearly says that the perimeter of the rectangle and of the square are the same. The given question is not necessary. Both perimeters are given as 60 cm.


If there were a different question....
4x=60----for the square, perimeter.
x=60%2F4
highlight%28x=15%29, may be useful later.
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2w%2B2L=60----begin looking at perimeter of the rectangle.
If x=w%2B5 as given, then w=x-5;
From found x, w=15-5, highlight%28w=10%29.

Now we know two previously unknown values:
x=15 and w=10;
What about L? Return again to the perimeter for the rectangle.
2w%2B2L=60
w%2BL=30
L=30-w
L=30-10
highlight%28L=20%29
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SUMMARY:
highlight%28x=15%29---side of the square
highlight%28w=10%29---width of rectangle
highlight%28L=20%29---Length of rectangle

The question needed to be properly changed. Maybe such as, "find the length and width of the rectangle, and the side length of the square."