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 %
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 %.