Question

Ratio of base and height of a parallelogram is 5 : 2. If area is 640 sq. cm then find base and height.

Answer 1

According to figure in parallelogram ABCD, Ratio of base BC and height AE is 5 : 2.

Let base of parallelogram = 5x

Height of parallelogram = 2x

Area of parallelogram = 640

⇒ Base x Height = 640

⇒ 5x × 2x = 640

⇒ 10x² = 640

⇒ x² = 640/10

⇒ x² = 64 ⇒x = 8

Base of parallelogram = 5x = 5 x 8 = 40 cm

Height of parallelogram = 2x = 2 × 8 = 16 cm