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 $1.2 x$

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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