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.
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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