Question

A photograph has a length that is 2 inches longer than its width, x. So its area is given by the expression x(x+2) square inches. If the area of the photograph is 48 square inches, what is the width of the photograph?

Answer 1

Width = 6 inches

Step-by-step explanation:

A photograph has a length that is 2 inches longer than its width x.

The area is given by :

A = x(x+2)

ATQ,

x(x+2) = 48

So,

`x^2+2x-48=0\\\\x^2+8x-6x-48=0\\\\x(x+8)-6(x+8)=0\\\\x-6=0\ and\ x+8=0\\\\x=6\ and\ x=-8`

Width can't be negative. So, the width of the photograph is 6 inches.