The width of the rectangle is 2 more than the length. The area of the rectangle is 63 square inches. How long is the width?

9 inches

Step-by-step explanation:

Area of rectangle = length * width

Let the length of the rectangle be x inches.

Width of rectangle = (x + 2) inches

since the width is 2 more than the length.

63 = x (x+2)

63 = x (x) + 2x

Bringing constant to one side,

x² + 2x - 63 = 0

(x + 9) (x-7) = 0 (factorise)

x+9 = 0 or x-7 = 0

x = - 9 or x = 7

(reject)

width of rectangle

= 7+2

= 9 inches

*We reject x = - 9 since the length of the rectangle cannot be a negative number.