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G varies directly as the square of H If G is 4 ... - WAEC Mathematics 2011 Question

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
correct option: a

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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