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Question

Side of an equilateral triangle expands at the rate of 2 cm/sec. The rate of increase of its area when each side is 10 cm is
(a) 102 cm2/sec
(b) 103 cm2/sec
(c) 10 cm2/sec
(d) 5 cm2/sec


Solution

(b) 103 cm2/sec

 Let x be the side and A be the area of the equilateral triangle at any time t. Then, A=34x2dAdt=2×34xdxdtdAdt=32×2×10dAdt=103 cm2/sec

Mathematics
RD Sharma XII Vol 1 (2015)
Standard XII

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