If the base of rectangle is increased by 10 % and the area is unchanged then the corresponding altitude must be decreased by:
Options:
A . 9 1/11 %
B . 10%
C . 11%
D . 11 1/9 %
Answer: Option A
Base = b and altitude = h then Area = (bh) New base = (110/100 b) = (10/11 b) Let new altitude = H = 10/11 b x H = 10/11 bH or H = (10/11 h) Decrease = (h - 10/11 h) = 1/11 h Decrease Percent = (1/11 h×1/11×100) % = 9 1/11 %
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