A farmer wishes to grow a 100 m2 rectangular vegetable garden Since he has with him only 30 m barbed...........

Quantitative Aptitude ( CCS) Mensuration 2D

A farmer wishes to grow a 100 m2 rectangular vegetable garden. Since he has with him only 30 m barbed wire, he fences three sides of the rectangular garden letting compound wall of his house act as the fourth side fence. Find the dimension of his garden.

20, 5

25, 4

15, 5

10,10

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Explanation:

Area of the garden = 100 m2
⇒ l × b = 100
⇒ b= 100/l
Garden is fenced on three sides.
Length of fencing = 2l + b = 30
⇒ (200/b + b= 30
⇒ b2 – 30b + 200 = 0
⇒ (b – 20)(b – 10) = 0
⇒ b= 20 or 10
⇒ l = 100/20 = 5 or 100/10 = 10
The garden is in the shape of a rectangle.
Therefore, the length and the breadth of the garden are 5 m and 20 m respectively.