The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 118 inches, find the

Question

juin [17]

3 years ago

10

The length of a rectangle is one inch less than three times its width. If the perimeter of the rectangle is 118 inches, find the

dimensions of the rectangle.

Mathematics

1 answer:

IgorLugansk [536] · Answer 1 · 2022-07-05T13:45:48+03:00

We can set up the width a X and, from the description the length would be 3X-1. The perimeter of a rectangle is determined by 2XL + 2Xw. Plugging into the equation 2(3X-1) + 2(X) = 118. Next distribute to get 6X-2 + 2X = 118. Combine like terms to get 8X = 120. Divide by 8 to get X = 15. The width is 15. The length is 3(15)-1 or 44. 88 +30 = 118