# 2) The sides of a rectangle are 20 cm and 15 cm. If each side of rectangle is increased by 20 % find the % increase in the area.

Please find below the solution to the asked query:

We know area of rectangle = Length $\times $ Breadth

So,

Area of given rectangle = 20 $\times $ 15 = 300 cm

^{2}

As given sides of rectangle increased by 20 % , so

Length of new rectangle = 20 + 20 % of 20 = 20 + $\frac{20\times 20}{100}=20+\frac{400}{100}$ = 20 + 4 = 24 cm

And

Breadth of new rectangle = 15 + 20 % of 15 = 15+ $\frac{20\times 15}{100}=15+\frac{300}{100}$ = 15 + 3 = 18 cm

Then,

Area of new rectangle = 24 $\times $ 18 = 432 cm

^{2}

Change in area = 432 - 300 = 132

Therefore,

**% increase in area = $\frac{132}{300}\times 100=\frac{13200}{300}$ = 44 % ( Ans )**

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