Mathematics
The length and the breadth of a rectangular field are in the ratio 5 : 4 and its area is 3380 m2. Find the cost of fencing it at the rate of ₹ 75 per m.
Area Trapezium Polygon
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Answer
Given:
The length and the breadth of a rectangular field are in the ratio 5 : 4.
The area of the rectangular field = 3380 m2
Rate of fencing = ₹ 75 per meter
Let the length of the rectangular field be 5a and the breadth be 4a.
As we know, the area of the rectangle = length x breadth
⇒ 5a x 4a = 3380 m2
⇒ 20a2 = 3380 m2
⇒ a2 = m2
⇒ a2 = 169 m2
⇒ a = m
⇒ a = 13 m
So, the length of the rectangular field = 5a
= 5 x 13 m
= 65 m
And, the breadth of the rectangular field = 4a.
= 4 x 13 m
= 52 m
Perimeter of the rectangle = 2(l + b)
= 2(65 + 52)
= 2 x 117
= 234 m
Total cost of fencing = Rate of fencing x Perimeter of fencing
= ₹ 75 x 234
= ₹ 17,550
Hence, the cost of fencing is ₹ 17,550.
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