# How Much will Increase in the Rectangle? If

The Length and Breadth of a rectangle are increased by 20% and 25% respectively. The increase in the area of the resulting rectangle will be:

1. 25%
2. 40%
3. 45%
4. 50%
• 1 Answer(s)

Answer: (4) 50 %

Explanation:-
Let the length of the rectangle is X m  & the breadth of the rectangle is Y m.

Formula-
The area of a rectangle = Length x breadth.

Then, the area of the rectangle  = X  x Y
= X Y m square.

The Length and Breadth of a rectangle are increased by 20% and 25%.
Then, the length of the rectangle = (X + X x 20/100)
= ( X + X /5)
= (5 X + X) / 5
= 6 X / 5

And the breadth of the rectangle = (Y + Y x 25/100)
= (Y + Y/4)
= (4 Y + Y )/4
= 5 Y /4

Then, the new area of the rectangle = 6 X x 5 Y / 5 x 4
= 3 X Y / 2

Increased area of rectangle = 3 X Y / 2 – X Y
= (3 X Y – 2 X Y ) / 2
=  X Y /2

Percentage of increased area = X Y x 100/X  Y x 2
= 100/2
= 50 %
The increase in the area of the resulting rectangle will be 50 %.

Hence, the answer is (4) 50 %.

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