Marvin wants to purchase a rectangular rug. It has an area of 80 square feet. He cannot remember the length and width, but he remembers that the length was 8 more than some number and the width was 8 less than that same number. Write a quadratic equation using the information given.

Question

Mathematics

Olive

2 December, 03:44

Marvin wants to purchase a rectangular rug. It has an area of 80 square feet. He cannot remember the length and width, but he remembers that the length was 8 more than some number and the width was 8 less than that same number. Write a quadratic equation using the information given.

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Answers (2)

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Giovanna Stephens · Answer 1

Let 'some number' be 'x'.

L = length = x + 8

W = width = x + 8

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The transitive property teaches that if a=b and b=c, then a=c.

Therefore, L = W.

That means the rug is square.

Of course, a square is an equilateral rectangle, so that is okay.

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A = area = L*W = L^2 = W^2 = 80 sq. ft.

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L = sqrt (80) = sqrt (16*5) = sqrt (16) * sqrt (5) = 4*sqrt (5) = 8.94427191

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So L = W = 8.94427191

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Returning to the setup, L = x+8 = 8 +.94427191.

So x =.94427191

No wonder he could not remember it.

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Ramiro Haney · Answer 2

Answer:80 times x divide by 8

Step-by-step explanation: you don't know what the length is but you do know what the width is