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Mr. Wilson and Miss Krietz have homerooms with the same perimeter. Miss Krietz's homeroom has a length 1 1/4 times the length of Mr. Wilson's homeroom. What is the width, w, of Miss Krietz's homeroom?

Mr. Wilson and Miss Krietz have homerooms with the same perimeter. Miss Krietz's homeroom-example-1

1 Answer

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Answer: 12.5

Explanation:

Let's first find the perimeter.

P = 2l + 2w

Since Mr.Wilson's perimeter equals Ms.Krietz's, we can use the same number for both.

P = 2(30)+2(20) = 100

Since the length of Ms.Krietz's homeroom is 1.25x the length of Mr.Wilson's, we can substitute that

l = 1.25(30) = 37.5

100 = 2(37.5) + 2w

100 = 75 + 2w

25 = 2w

w = 12.5

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