The perimeter of a rectangle is 56 in. The ratio of the length to the width is 6:1. Find the length and the width.

BolkowN

BolkowN

Answered question

2020-11-02

The perimeter of a rectangle is 56 in. The ratio of the length to the width is 6:1. Find the length and the width.

Answer & Explanation

cheekabooy

cheekabooy

Skilled2020-11-03Added 83 answers

Using the given ratio, we let 6x be the length and x be the width. The perimeter of a rectangle is given by: P=2l+2w Substituting given, we have: 56=2(6x)+2(x) Solve for x: 56=12x+2x 56=14x 5614=x 4=x So, the length is 6(4)=24 inches and the width is 4 inches4 inches.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-11Added 2605 answers

Answer is given below (on video)

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