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If Each of the Dimensions of a Rectangle is Increased by 200%, the Area is Increased by - Mathematics

MCQ

If each of the dimensions of a rectangle is increased by 200%, the area is increased by

Options

  • 300%

  • 200%

  • 800%

  • 600%

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Solution

800%
Explanation : 
Let dimensions of the rectangle are x and y respectively.
Then, Area = xy
After increment dimensions = (x + 200% of x) and (y + 200% of y)

= `(x+200/100x)and(y+200/100y)`

= 3x and 3y

= Then, new area = (3x) (3y) = 9xy

= Increment in area = 9xy - xy = 8xy

Required percentage = `(8xy)/(xy)xx100`% = 800%

Concept: Percentage, Discount and Partnership (Entrance Exam)
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