# 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:

- 25%
- 40%
- 45%
- 50%

**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 %.