asked 123k views
3 votes
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.

asked
User Gdubs
by
8.3k points

1 Answer

0 votes

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

answered
User Pavel Davydov
by
7.6k points
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