Question

The height of a parallelogram is one fourth of its base. If its area is 144 square cm. Then find its base and height.

Answer 1

Answer:

height = 6 cm

base = 24 cm

Step-by-step explanation:

let

h = x

then

b = 4x

given area = 144

area of parallelogram = b * h

=> x * 4x = 144

=> 4x² = 144

=> x² = 144/4 = 36

=> x = √36

=> x = 6

height = x = 6 cm

base = 6 * 4 = 24 cm

Answer 2

Answer:

Base = 24

Height = 6

Step-by-step explanation:

Given

=> b= x

=> h= 1/4x

Area is 144 cm

Area of parallelogram is lb

Area = 1/4x * x

144 = 1/4 x²

144 * 4= x²

576 = x²

=>x = √576 = 24

Therefore

Base = 24 and height = 1/4 * 24 = 6