A rectangular rug has perimeter 1388 inches. The length is 34 inches more than twice the width. Find the length and width of the

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1 year ago

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rug.

1 answer:

emmainna [20.7K] · Answer 1 · 2023-05-17T16:23:52+03:00

The length of the rectangle is 474 inches and the width of the rectangle is 220 inches.

A rectangular rug has a perimeter of 1388 inches. The length is 34 inches more than twice the width.

We need to find the length and width of the rug.

<h3>What is a perimeter of a rectangle?</h3>

The perimeter of a rectangle is the sum of the lengths of all its sides.

Let the width of the rectangle be x inches, and then the length of the rectangle be 2x +34 inches.

We know that, the perimeter of the rectangle=2(Length+Width)

Now, 1388 inches =2(2x+34+x)

⇒6x+68=1388

⇒6x=1320

⇒x=220 inches

Width=220 inches and Length=2x+34=440+34=474 inches.

Hence, the length of the rectangle is 474 inches and the width of the rectangle is 220 inches.

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