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.

Dear Student,

Please find below the solution to the asked query:

We know area of rectangle = Length × Breadth

So,

Area of given rectangle  = 20 × 15 =  300 cm2

As given sides of rectangle increased by 20 % , so

Length of new rectangle = 20 + 20 % of 20 =  20 + 20 × 20100 =20 +  400100 = 20 + 4 =  24 cm

And

Breadth of new rectangle = 15 + 20 % of 15 =  15+ 20 × 15100 =15 +  300100 = 15 + 3 =  18 cm

Then,

Area of new rectangle = 24 × 18  = 432 cm2

Change in area = 432 - 300 =  132

Therefore,

% increase in area  = 132300× 100 = 13200300 = 44 %                                            ( Ans )


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