A rectangle has a length of 4 times the width minus 7. The perimeter is 136. Find the width and the length.

Let the width be x

Therefore Length will be 4x - 7

Formula for perimeter of rectangle is:

2L + 2w = P (where L is length, w is width and P is perimeter.)

2 (4x - 7) + 2 (x) = 136

8x - 14 + 2x = 136

8x + 2x = 136 + 14

10x = 150

x = 150/10

x = 15

The width is 15

therefore the length will be : 4 (15) - 7 → 60 - 7 = 53

The length is 53