The length of a rectangle is twice that of its width. If the area of the rectangle is 72 square inches, then find the length and width?

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Answer 1 · 2018-06-05T00:54:21

Length, #12#"

Width, #6#"

Let the length be #l# and the width be #w#.

The area of a rectangle is #lw#.

We are told the length is twice the width:

#l = 2w#

#A = lw = (2w)w = 2w^2 = 72#

This leads to:

#w^2 = 36#

#w = +- 6#

Since width can only be positive, we determine #w = 6#.

Which means the length is #l = 2(6) = 12#