Question

The sides of a rectangle are 20cm and 15cm. If each side is increased by 20%, find the percentage increase in the area.​

Answer 1

Answer:

30.5556%

Step-by-step explanation:

Note :

Area = l * b

Case - 1 :

length = 20 cm

breadth = 15 cm

Area = 20 × 15

=> Area = 300

Case - 2 :

Length = 20 + 20%

=> 20 + 20% (20)

=> 20 + 4 = 24

Breadth = 15 + 20%

=> 15 + 20% (15)

=> 15 + 3 = 18

Area = l * b

=> 24 * 18

=> 432

Percentage Increase in area

Increase in area = 432 - 300 = 132

% increase = 132/432 * 100

=> 30.5556%

Answer 2

The sides of the rectangle are 20 cms and 15 cms.

Therefore the area of the rectangle is

20 × 15 = 300 sq. cms.

If each side is increased by 20 percent, the sides will be

20 + 4 = 24 cms and 15 + 3 = 18 cms.

Area of the new rectangle will be 24 × 18 = 432 sq. cms.

Therefore percentage increase in the area will be

(432 - 300) /300 × 100 = 44 percent.