# 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

• 300%

• 200%

• 800%

• 600%

#### 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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