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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
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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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