Mathematics
The cost of enclosing a rectangular garden with a fence all round, at the rate of 75 paise per metre, is ₹ 300. If the length of the garden is 120 metres, find the area of the field in square metres.
Mensuration
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Answer
Given:
Length of the garden = 120 m
Cost of fencing = 75 paise per metre = ₹ 0.75 per m
Total cost = ₹ 300
Total cost of fencing = Perimeter x Cost per metre
⇒ ₹ 300 = Perimeter x ₹ 0.75
⇒ Perimeter = m
⇒ Perimeter = m
⇒ Perimeter = 400 m
Let b be the breadth of the garden.
Perimeter = 2(l + b)
⇒ 2(120 + b) = 400
⇒ 120 + b =
⇒ 120 + b = 200
⇒ b = 200 - 120
⇒ b = 80 m
Area of the rectangular garden = Length x Breadth
= 120 x 80 m2
= 9600 m2
Hence, the area of the garden is 9600 sq. m.
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