Question 26
If the length of a rectangle is increased by 10% and its breadth is decreased by 10%, then its area
Solution
assume original length of rectangle = 100
original breadth = 100
original area = 10000
now length of a rectangle is increased by 10%
new length = $$ 100 \times \frac{110}{100} = 110 $$
breadth is decreased by 10%
new breadth = $$ 100 \times \frac{90}{100} = 90 $$
new area = $$ 110 \times 90 = 9900 $$
% change in area = $$ \frac{10000 - 9900}{10000} \times 100 = \frac{100}{10000} \times 100 = 1$$ %
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