The length of a rectangle is 4yd longer than its width. If the perimeter of the rectangle is 68yd, find its length and width.

Shirish Kadam asked Dec 8, 2023

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39 votes

The length of a rectangle is 4yd longer than its width.

If the perimeter of the rectangle is 68yd, find its length and width.

Shirish Kadam asked Dec 8, 2023

2.8k points

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11 votes

Pentagon Question

The sides add to 63, so:

$11+3x+11+x+2+2x+3=63 \\ \\ 6x+27=63 \\ \\ 6x=36 \\ \\ x=6 \\ \\ \implies AB=2(6)+3=15$

Rectangle Question

If the width is w, then the length is w+4.

This means that 2(w+w+4)=68.

$2(2w+4)=68 \\ \\ 2w+4=34 \\ \\ 2w=30 \\ \\ w=15$

So, the length is 19 and the width is 15.

Dmkc answered Dec 13, 2023

by Dmkc

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