The length of a rectangle is 5 inches more than twice a number. The width is 4 inches less than the same number. If the area of the rectangle is 15, find the number.

Question

Mathematics

Kennedi Gill

24 July, 22:32

The length of a rectangle is 5 inches more than twice a number. The width is 4 inches less than the same number. If the area of the rectangle is 15, find the number.

+5

Answers (1)

Know the Answer?

Cesar Callahan · Answer 1

n = 5, n = - 7/2

Step-by-step explanation:

2n + 5 = l

n - 4 = w

A = l * w = 15

(2n + 5) (n-4) = 15

2n^2 - 8n + 5n - 20 = 15

2n^2 - 3n - 35 = 0

(2n + 7) (n - 5) = 0

2n + 7 = 0 or n - 5 = 0

n = - 7/2 or n = 5