# Find The Area of The New Garden?

A gardener increased the area of his rectangular garden by.increasing its length by 40% and decreasing its width by 20%. The area of the new garden

- Has increased by 20%.
- Has increased by 12%.
- Has increased by 8%.
- Is exactly the same as the old area

**Answer: (2) Has increased by 12 %**

**Explanation:-**

Let be the length of the garden is X m & the width of the garden is Y m.

The area of the garden = X Y

The length is increased by 40% of a garden,

The length of the garden = 140 X/100 = 7X/5

The width is decreased by 20%,

Then, the width of the garden = 80Y/100 = 4Y/5

The new area of the garden = 7 X x 4 Y/5 x 5

= 28 XY/25

Increased area of garden = 28 XY/25 – X Y

= 3 X Y/25

Increased area in percent = 3 X Y x 100/25 x X Y

= 12 %

Hence, the new area increased by 12 %.