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# Finding l and w?

The length of a rectangle is 6 more than 2 times the width. If the perimeter is 90, find the length and the width.

What's the length and the width?

### 3 Answers

Relevance

- MichaelLv 72 months ago
The length of a rectangle is 6 more than 2 times the width.

l = 2w + 6

the perimeter is 90

2l + 2w = 90

Substitute for l

2(2w + 6) + 2w = 90

(4w + 12) + 2w = 90

Combine like terms

6w + 12 = 90

Subtract 12 from both sides

6w = 78

Divide both sides by 6

w = 13 <–––––––

l = 2(13) + 6

l = 32 <––––––

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