Question

The base of a rectangle is 7 more than its height. If the area of the rectangle is

44 square centimeters, what is its perimeter?

Answer 1

Explanation:

Let the height of the rectangle = x cm

The base of rectangle = x + 7

Area = 44 Sq.cm

base * height = 44

(x+7)* x = 44

x² + 7x = 44

x² + 7x - 44 = 0

x² - 4x + 11x - 44 = 0

x(x-4) + 11(x-4) = 0

(x-4)(x+11) = 0

x-4 = 0 or x+11 = 0

x = 4 0r x = -11

x =4 ( measurement cannot be in negative value)

Height = 4 cm

Base = 4 + 7 = 11cm

Perimeter = 2 * (base + height)

= 2*( 11+4) = 2*15

= 30 cm