The sides of a square are increased by 50% and a new square is made.What is the percentage of increase in its area ? *
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Let x = the length of the sides
Area = side * side = x * x = x^2
If we increase the length of the sides by 50%
1.5x = the length of the sides
Area = side * side = 1.5x * 1.5x = 2.25x^2
Increase in area is 225% - 100% = 125%
Increasing the sides of a square by 50% increases the area of the square by 125%.
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