# How much will be Increase? If

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

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

**Answer: (4) 50 %**

**Explanation:-**

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

Then, the area of the rectangle = X Y m sq.

Length is increase by 20 %,

Then, the length = X + X x 20/100

= X + X/5

= (5 X + X)/5

= 6 X/5

Breadth increased by 25 %,

Then, the breadth = Y + Y x 25/100

= Y + Y/4

= (4 Y + Y)/4

= 5 Y /4

The new area of the rectangle = 6 X x 5 Y /5 x 4

= 3 X/2

Increased area = 3 X Y/2 – X Y

= (3 X Y – 2 X Y )/2

= X Y /2

Increase in percent = X Y x 100 /X X x 2

= 50 %

Hence, the answer is (4) 50 %.