What is the percentage increase in the area of a rectangle if its length is increased by 20?

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• Answered by: Pragya T. from Delhi
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10 Questions 10 Marks 6 Mins

GIVEN:

Each sides of a rectangle are increased by 20%.

CONCEPT:

Area of rectangle is directly proportional to the product of length and breadth.

FORMULA USED:

Area of rectangle = Length × Breadth

CALCULATION:

Suppose the length and breadth of the rectangle are x and y respectively.

So, area of rectangle = xy

⇒ Increased length = 1.2x and Increased breadth = 1.2y

New area = 1.2x × 1.2y   = 1.44xy

⇒ Increment in area = [1.44xy - xy] = 0.44xy

∴ Percentage increment in area = [0.44xy/xy] × 100 = 44%

Formula for successive percentage increment of x%

Percentage increase = x + x + xx/100

x = 20%

Percentage increase = 20 + 20 + 20 × 20/100 = 44%

∴ The percentage in area is 44%.

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