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W L2 and W 6 when L 4 If L 17 find W - JAMB Mathematics 2007 Question

W ∝ L2 and W = 6 when L = 4. If L = √17 find W
A
67/8
B
65/8
C
63/8
D
61/8
correct option: c
W ∝ L2
W = KL2
K = W/L2
K = 6/42
K = 6/16 = 3/8
W = 3/8 L2
W = 3/8(√17)2
W = 3/8 x 17
W = 51/8 = 63/8
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