Question

In a parallelogram PQRS, PQ = 8cm and QR = 10 cm. If the height corresponding to side PQ

is 5cm, then find the height corresponding to the side QR

Answer 1

4 cm

Explanation:

• PQ = 8 cm
• QR = 10 cm
• Height corresponding to PQ = 5 cm
• Height corresponding QR = x

The area of parallelogram is equal to product of its base and height

It can be expressed as

• A = 8*5 = 40

and

• A= 10*x

Comparing them we get

• 10x = 40 ⇒ x = 4 cm