The base of a parallelogram is twice its height. If the area of the parallelogram is 722 cm² , find the base and height.

Given,

Let the height of the parallelogram be h cm, then the base of the parallelogram is 2h cm.  

The area of a parallelogram = 722 cm².

The area of a parallelogram = base x height

722 = (2h) x (h)

722 = 2h²

h² = $\frac{722}{2}$= 361 cm²

h² = (19)² cm²

h = 19 cm

Hence, the height of a parallelogram (h) = 19 cm.

The base of a parallelogram = 2h = 2 x 19 = 38 cm.