The length of a rectangular field is thrice its breadth. If the cost of cultivating the field at Rs. 367.20 per square meter is Rs. 27,540, then what is the perimeter of the rectangle?
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The perimeter of the rectangle is 40m.
Given data :
Cultivating cost = ₹ 367.20/m²
Total Cost = ₹27540
Length = 3 × Breadth
Now,
₹367.20 is needed for = 1m²
₹1 is needed for = 1/367.20 m²
₹27540 is needed for = 27540/367.20 = 75 m²
So,the area of the rectangle is = 75 m²
Let,the breadth = x m
So,the length = 3 × x = 3x m
Now,
x × 3x = 75
3x² = 75
x² = 25
x = 5
So, breadth = 5 m
Length = (3×5) = 15 m
Perimeter = {2×(5+15)} m = 40 m (answer)
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