Question

6. The base of a parallelogram is twice its altitude. If its area is 288 cm^2,
then its altitude is *

Answer 1

Answer:Let the altitude be x.

Then base be 2x.

Area = 288 cm²

ATQ,

Area = Base × Height/Altitude

288 cm² = 2x × x

288 cm² = 2x²

2x² = 288 cm²

x² = 288 cm² ÷ 2

x = square root of 144 cm²

x = 12 cm

.°. Base = 2x

= 2 × 12 cm

= 24 cm

Altitude= x

= 12 cm