What is the percentage increase in the area of rectangle if each of its sides is increased by 20 %? 45% 40% 42% 44%?

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15 Questions 30 Marks 10 Mins

Given:

Each side of the Rectangle increases by 20 % 

Concept Used:

Concept of percentage. It is calculated on the basis of 100.

For example, x% means x out of 100.

Area of rectangle = Length × Breadth

Calculation:

Let, the length of the rectangle be l and the breadth be b

According to the Question,

Each side increases by 20% 

⇒ New length = (120/100) × l = (1.2 × l) and new breadth = (120/100)b = 1.2b

Initial area = l × b

new area with new side = (1.2 × l) × (1.2b) = 1.44 × lb 

\(Net\;change = \frac{({1.44 - 1}) \times lb}{{lb}} × 100 = 44\;\% \;\;\)

∴ The percentage in area is 44%.

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