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

The answer is 12 cm

Step-by-step 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.

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step-by-step explanation: