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G varies directly as the square of H, If G is 4 when H is...

Mathematics
WAEC 2011

G varies directly as the square of H, If G is 4 when H is 3, find H when G = 100
  • A. 15
  • B. 25
  • C. 75
  • D. 225
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Correct Answer: Option A
Explanation
G \(\alpha\) H2

G = KH2

4 = K(3)2

4 = 9k; K = \(\frac{4}{9}\)

100 = \(\frac{4}{9}H^2\)

4H2 = 900

H2 = \(\frac{900}{4}\)

H2 = 225

H = \(\sqrt{225}\)

H = 15

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