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

  1. Has increased by 20%.
  2. Has increased by 12%.
  3. Has increased by 8%.
  4. Is exactly the same as the old area
Anurag Mishra Professor Asked on 23rd July 2015 in Maths.
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1 Answer(s)

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 %.

Anurag Mishra Professor Answered on 23rd July 2015.
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