Answer:
Step-by-step 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
