The base of a parallelogram is twice its height. If the area of the pa

1.	The base of a parallelogram is twice its height. If the area of the parallelogram is 512 cm2, find the base and height.
Answer» Let the height of the parallelogram be x cm. Then the base of the parallelogram is 2x cm. [from given data] Given that the area of the parallelogram = 512 cm² We know that area of a parallelogram = Base x Height 512 = (2x) (x) 512 = 2x² x²= 512/2 = 256 cm² x² = (16)² x = 16 cm Hence height of parallelogram = x = 16 cm And base of the parallelogram = 2x = 2 x 16 = 32 cm

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

Answer»

Let the height of the parallelogram be x cm.

Then the base of the parallelogram is 2x cm. [from given data]

Given that the area of the parallelogram = 512 cm²

We know that area of a parallelogram = Base x Height

512 = (2x) (x)

512 = 2x²

x²= 512/2

= 256 cm²

x² = (16)²

x = 16 cm

Hence height of parallelogram = x = 16 cm

And base of the parallelogram = 2x = 2 x 16 = 32 cm