# What is the area of the rectangle:

If the length of a rectangle is increased by 20 % and width of the same rectangele decreased by 20 %, then the area of the rectangle:

- Decreases by 20%
- Decreases by 4%
- Is unchanged
- Increases by 20 %

**Answer: (2) Decreased by 4 %**

**Explanation:-
**Let the length of a rectangle is X m and width of the same rectangle is Y m

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

If the length of a rectangle is increased by 20 %

Then, the length of a new rectangle = X + X x 20/100

= X + X/5

= (5 x + X)/5

= 6 X/5 m

If the breadth of the rectangle is decreased by 20 %

Then, the new breadth of the rectangle = Y – Y x 20/100

= Y – Y/5

= (5 Y – Y)/5

= 4 Y/5

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

= 24 X Y /25

Decreased area = X Y- 24 X Y /25

= (25 X Y – 24 X Y)/25

= X Y/25

Decreased area in percentage = X Y x 100/25 x X Y

= 100/25 %

= 4 %

Then, the area of a rectangle is decreased by 4%.

Hence, the answer is (2) 4%.