Question

If the area of a rectangle is

(15x^2 - 16x - 15) square feet,

and its length is (3x - 5) feet,

find its width.

Answer 1

Width = 5x +3

Explanation:

15x² - 16x - 15 = 15x² - 25x + 9x - 3 *5

= 5x(3x - 5) + 3(3x - 5)

= (3x - 5)(5x + 3)

Width =
`(Area)/(length)`

`= (15x^(2)-16x - 15)/((3x-5))\\\\=((3x-5)(5x+3)))/((3x-5))\\\\=5x + 3`