13. If the sides of a square is increased by 25%, then the area
of square will be increased by
?
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Answer:
let the original side of square is = x ...
therefore original area = x × x
new side x' = x + 25 percent of x
x' = x ( 1 + 25 / 100)
x' = 5x /4
new area =( 5 x / 4) × (5x/4)
= 25 x^2/ 16
change in area = new area - original area
= x^2( (25/16) - 1)
= 9 x^2/ 16
percentage increase
=(( 9 x^2/16) / x^2 ) × 100
= 56.25 percent
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