Question 89
If the side of a square is increased by 20%, its area is increased by k%. Find the value of 'k'.
Solution
Assume that the side of the square is x.
Therefore, if side of a square is increased by 20%, then new side length would be 1.2x
Now the area:
For the Old square it would be $$(x)\times(x)$$
For the New square: would be $$(1.2x)\times(1.2x)$$
$$1.44x^2-x^2=44$$
Thus, the area of the square will be increased by 44
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