The length of a rectangle is twelve inches more than its width. The perimeter of the rectangle is 276 inches. What are the dimen

Question

cestrela7 [59]

3 years ago

15

The length of a rectangle is twelve inches more than its width. The perimeter of the rectangle is 276 inches. What are the dimen

sions of the rectangle?

Mathematics

1 answer:

stepladder [879] · Answer 1 · 2022-04-02T20:12:55+03:00

Answer: The dimensions of the rectangle are

Length = 75 and Width = 63

Step-by-step explanation: We would start with the information about the sides of the rectangle which states that the length is twelve inches more than it's width. In other words, if the width is represented by the letter w, then the length will be w + 12.

Also the perimeter of a rectangle is given as

2(L + W) where L is the length and W is the width of the rectangle

Therefore

Perimeter = 2( {w +12} + w)

276 = 2(2w + 12)

276 = 4w + 24

Subtract 24 from both sides of the equation

252 = 4w

Divide both sides of the equation by 4

63 = w

Therefore the width of the rectangle is 63 and the length is 75 (63 + 12).

L = 75 inches