Question

The base of a parallelogram is twice its height. If the area of the parallelogram is 72 sq. cm, find its height A) 6 B) 7 C) 8 D) 9

Answer 1

A

Explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the height )

let base be represented by b and height by h , then b = 2h

given A = 72 and substituting into the formula

bh = 72 , that is

2h × h = 72

2h² = 72 ( divide both sides by 2 )

h² = 36 ( take square root of both sides )

`√(h^2)` =
`√(36)` , that is

h = 6