If varies jointly as b and h, write as A = Kbh. Where k is the constant of variation.

If A = 20 when b = 10 and h = 4

Solve for k

• 20 = k(10) (4)
• k = 20 / (10) (4)
• k = 1/2

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If k = 1/2 , b = 8 and A = 16

Solve for h

• 16 = 1/2 (8) (h)
• 16 = 4h
• h = 16/4
• h = 4

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Thus, the height of the rectangle if it's base is 8 inches and its area is 16 square inches is height = 4 inches.

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