Question

22. The cost of fencing a square field at the rate of 49 per metre is 331,360. Find the perimeter of the square field. The perimeter of the square field is equal to the perimeter of a rectangular field. Find the dimensions of
the rectangular field if the length and breadth of the rectangular field are in ratio 3:2.​

Answer 1

Step-by-step explanation:

one draw square shape and plus four side 35m,35m,35m,35m

P =4×5

=4×35

=140m

Cost of fencing=40×140

=Rs=5600

Answer 2

Step-by-step explanation:

The Cost of fencing a square field = Rs. 331,360

The Cost of fencing 1m square field= Rs. 49

Therefore, perimeter of square field = 331,360/49 = 6762.44 m

Now, given that perimeter of square = perimeter of rectangular field

so, let the length of rectangular field = 3x

and the breadth of rectangular field = 2x

A/Q,

Perimeter of square = Perimeter of rectangular field

6762.44 = 2(l+b)

6762.44 = 2(3x+2x)

6762.44 = 2×5x

6762.44 = 10x

6762.44/10 = x

676.244 m = x

676.2 m (approx.) = x

so, the length of rectangular field = 3×676.2 = 2028.6 m

and the breadth of rectangular field = 2×676.2 = 1352.4 m

Hope you understand it.

Thank you

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