Question

Find the length of a rectangular field, given that its breadth is 50 m and the cost of turfing is at ₹41.25 per metre square is ₹15687.50

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Answer 1

Answer ⤵️

=> Let the length be x cm

=> Length= x m

=> Breadth= 50 m

=>Perimeter of the field = 2(l+b)

=> Perimeter of the field= 2 ( x+ 50)

=> Perimeter of the field= (2x+100)m

Cost of 1 m of turfing the field = Rs. 41.25

Cost for ( 2x+100)m to turfing a rectangular field

= Rs. 41.25(2x+100)m

= Rs. 82.5x+ 4125

But given cost= ₹15687.50

Then, 82.5x+4125= 15687.50

=> 82.5x= 15687.50-4125

=> 82.5x= 11562.5

=> x= 11562.5/82.5

=> x= 140.15 m

.

. . Length of the rectangular field is 140.15 m.

Step-by-step explanation:

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