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The height of a parallelogram is three times its base. If the area is 972 square inches, what is the base and height?

User Dkato
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1 Answer

4 votes

Answer:

Base = 18 inches

Height = 54 inches

Explanation:

The height of a parallelogram is three times its base. If the area is 972 square inches, what is the base and height?

The area of a parallelogram is given as:

Base × Height

Height = h = 3b

Area = 972 square inches

We substitute

972 = b × 3b

972 = 3b²

Divide both sides by 3.

b² = 972/3

b² = 324

b = √324

b = 18 inches

Solving for h

h = 3b

h = 3 × 18

h = 54 inches

Therefore,

Base = 18 inches

Height = 54 inches

User Loktar
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