Question

The area of a parallelogram is 96 cm2. The height of the parallelogram is 4 cm less than the length of the base. What is the length of the base?

A) 5 cm

B) 8 cm


C) 12 cm


D) 14 cm

Answer 1

The answer is 12 cm

Explanation:

Let b = base of parallelogram; then, (b − 4) = height of the parallelogram

A = bh

96 = b(b − 4)

96 = b2 − 4b

0 = b2 − 4b − 96

0 = (b − 12)(b + 8)

b −12 = 0

b = 12

b + 8 = 0

b = − 8

Since length is always positive, the length of the base is 12 cm.

Answer 2

The answer is C. 12cm