Question 127
The length of a rectangle is twice its breadth. If the length of the rectangle is increased by 20% and its breath is decreased by 40% then what will be the percentage change in the area of the rectangle?
Solution
Let the breadth of the rectangle be ‘x’. So its length would be 2x.
Thus the area of the rectangle would be $$2x^{2}$$
Now the new length would be 2.4x and new breadth would be .6x
Hence the new area would be $$2.4x*.6x = 1.44x^{2}$$.
Hence we can see that the area has got reduced.
Percentage reduction = $$\frac{56}{200}*100 = 28\%$$
Hence the correct answer is option D.
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