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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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