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Let x be the common factor
Ratio = 9:5
So, the length should be 9x m and the breadth should be 5x m
By the problem
9x × 5x = 14580
or, 45x square = 14580
or, x square = 14580/45
or, x square = 324
or, x = √324
or, x = 18
So, 18 is our common factor.
So the length is (9 × 18)m = 162m
Breadth = (5 × 18)m = 90m
As, the problem is concerned with fencing of the rectangular field, all you need to do is worry about the perimeter of the field.
We know that perimeter of a rectangle is 2( l + b)
So, 2(162 + 90)
or, 2 × 252
or, 504m
Cost of fencing 1m is ₹3.25
Cost of fencing 504m is ₹(3.25 × 504)
Which is, ₹1638.
So, total cost is ₹1638.
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Total cost is 1638 rupees.........
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