Question 58

Due to increase of k% in the side, the area of a square increases by 69%. What is the value of k?

Solution

Let side of square = $$10$$ cm

=> Area of square = $$(10)^2=100$$ $$cm^2$$

Area is increased b 69%, => New area = $$100+(\frac{69}{100}\times100)=169$$ $$cm^2$$

Thus, new side of square = $$\sqrt{169}=13$$ cm

$$\therefore$$ Increase in side = $$k=\frac{(13-10)}{10}\times100$$

= $$30\%$$

=> Ans - (A)

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