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The length of a rectangle is twice as long as the width. The area is 200ft to the power of 2. Find the length and the width of the rectangle.

User Gdubs
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1 Answer

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Answer:

Length = 20feet

Width = 10feet

Explanation:

Area of a rectangle = LW

Perimeter P= 2(L+W)

L is the length

W is the width

If the length of a rectangle is twice as long as the width, then;

L = 2W

Substitute into the foemula

A = (2W)W

A= 2W²

If the area is 200ft², then;

200 = 2W²

100 = W²

W = √100

W = 10ft

Since L = 2W

L = 2(10)

L = 20ft

Hence the length of the rectangle is 20feet and the Width is 10feet

User Pavel Davydov
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