Let the side of square be 10 units
=> Original area = 10*10 = 100 sq. units
Side is reduced by 50%
=> New side = $$10 - (\frac{50}{100} * 100) = 10 - 5$$
= 5 units
=> New area = 5*5 = 25 sq. units
=> % reduction in area = $$\frac{100-25}{100} * 100$$ = 75%
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