Question 31

What will be the percentage of increase in the area of a square when each of the its sides is increased by 10% ?

Solution

Let side of square = 10 cm

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

If side is increase by 10%, => New side = $$10 \times \frac{110}{100}=11$$ cm

=> New area of square = $$(11)^2=121$$ $$cm^2$$

$$\therefore$$ Increase in area = $$\frac{121-100}{100} \times 100$$

= $$21\%$$

=> Ans - (D)

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