Question 117
One pair of parallel of a square is increased by 30%. To maintain the same area, the other pair of parallel side will have to be decreased by
Solution
Let the side of square be "a" units
area of square = $$side^2$$ = $$a^2$$
if one pair of the parallel side is increased by 30% it means two sides become "1.3 a" units each
let the other side be b units of a new figure which is rectangle.
So, 1.3 x a x b = $$a^2$$
b = 0.769 a
So pair of other parallel sides should be reduced by 23.1% to maintain the same area.
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