A rectangular rug has a perimeter of 220 feet. The width of the rug is two feet less than the length. Find the length and the wi

Question

zlopas [31]

2 years ago

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A rectangular rug has a perimeter of 220 feet. The width of the rug is two feet less than the length. Find the length and the wi

dth.

Mathematics

1 answer:

Gekata [30.6K] · Answer 1 · 2022-07-22T13:44:37+03:00

Answer:

The length is 56 and the width is 54.

Step-by-step explanation:

The perimeter of a rectangle is 2x+2y (width and length on both sides). so 2x+2y=220. Also x=y-2, because the width is 2 feet less than the length. Fill x=y-2 in 2x+2y=220 and we get 2(y-2)+2y=220. 2y-4+2y=220. 4y=216. y=54. Fill in y=54 in 2x+2y=220 and we get 2x+2(54)=220. 2x=220-2(54)=112. x=56.