Question

The length and breadth of a rectangular field are in the ratio 9 : 5. If the area of the field is 14580 square metre, find the cost of surrounding the field with a fence at the rate of Rupees 3.25 per metre?​

Answer 1

Answer:

Let the length of the field be 9x and breadth be 5x.

9x×5x= 14580

45x^2  = 14580

x^2  = 324

x=18

Hence, length=162m and breadth=90m.

Perimeter = 2( l+b) = 2(162+90) = 2(252) = 504m

∴  Cost of fencing =  504×3.2 5= 1638 Rs.

Answer 2

Answer:

₹47385

Explanation:

Let the ratios be 9x and 5x.

Area= 14580sq.m

Length= 9x

Breadth= 5x

Area of rectangle= Length x Breadth

14580 = 9x x 5x

14580 = 45x

14580/45 = x

Therefore x= 324

Therefore, length= 9 x 324= 2916

breadth= 5 x 324= 1620

Now,

Cost of fencing 1m= ₹3.25

Cost of fencing 14580 sq.m= ₹47385

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