Question

The base of a parallelogram is twice of its height. If its area is 512 cm², then the length of base is

(a) 16 cm (b) 32 cm (c) 48 cm (d) 64 cm

Answer 1

Let b and h be the base and height, then b = 2h.
Area of parallelogram = b $\text{×}$ h
$\text{⇒}$ 512 = 2h $\text{×}$ h
$\text{⇒}$ 2h² = 512
$\text{⇒}$ h² = 256
$\text{⇒}$ h = 16 cm
$\text{⇒}$ b = 2 $\text{×}$ 16 = 32 cm
Hence, the correct option is (b).