The length of a rectangle is 11 in. longer than its width. The perimeter of the rectangle is 86 in. What is the length of the rectangle? 38 in. 32 in. 27 in. 16 in.

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asked Oct 10, 2015 214k views

5 votes

The length of a rectangle is 11 in. longer than its width. The perimeter of the rectangle is 86 in.

What is the length of the rectangle?
  38 in.
       32 in.
       27 in.
        16 in.

Mathematics
high-school

Toyin asked

by Toyin

7.4k points

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1 Answer

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$L=w+11 \\\\P=86in \\P=2L+2w \\\\ 2(w+11)+2w=86 \\\\ 2w+22+2w=86 \\\\ 4w=86-22 \\\\ 4w=64 \\\\ \boxed{w=(64)/(4)=16in} \\\\L=16+11 \\\\ \boxed{L=27in}$