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The length of a rectangle field is thrice its breadth. If the area of the field is 7500 Metre Square, find the cost of fencing the field at the rate of 10$ per metre?
Given: The Length of a rectangle field is thrice its breadth and the area of the field Is 7500 Metre Square.
To find: We have to find the cost of fencing.
Solution:
Let the breadth of the field = a
So the length of the field = 3a
Now,
Length x Breadth = Area of the rectangular field
3a x a = 7500
3a2 = 7500
a2 = 7500/3
a2 = 2500
a = √2500
a = 50 m
So,
The breadth of the field = a = 50 m
The length of the field = 3a = 3 x 50 = 150 m
To find the total cost of fencing the field first we need to find the perimeter of the field.
Perimeter of the rectangular field = 2 (l + b)
Perimeter of the rectangular field = 2 (150 + 50)
Perimeter of the rectangular field = 2 (200) = 400 m
Now,
Cost of fencing 1 m = 10
Cost of fencing 400 m = 10 x 400 = 4000 $