Question

The base of a parallelogram is twice its height. If the area is 648 cm², then its base is:
1. 28 cm
2. 32 cm
3. 24 cm
4. 36 cm

Answer 1

Correct Answer - Option 4 : 36 cm

Given:

Area of parallelogram = 648 cm²

The base of parallelogram = 2 × height of the parallelogram

Formula used:

Area of parallelogram = b × h

Where,

b = Base of the parallelogram

h = Height of the parallelogram

Calculation:

b = 2h     ...1)

Area of parallelogram = b × h

⇒ 648 = 2h × h

⇒ 324 = h²

⇒ h = 18 cm

From equation (1)

⇒ b = 2h 

⇒ b = 36 cm

∴ The base of the parallelogram is 36 cm.