Question

The cost of cultivating a rectangular field at Rs 35 sq meter is Rs 71400. If the width of the field is 40 m, find its lenght.Also, find the cost of the fencing the field at Rs 50 per meter.

Answer 1

Given,

Cost of cultivating a rectangular field at 35rs per m²=71400rs

Breadth(Width)=40m

We know that cultivating a rectangular field = area of the rectangle

Cost of cultivating=area of rectangle×cost per m²

=>71400=l × 40 × 35

=>71400/(40×35) = l

=>7140/140= l

=>714/14 = l

=>l=21

Cost of fencing the field=perimeter of rectangle×cost per m

=>2(l+b) × 50

=>2(21+40)×50

=>2(41)(50)

=>100 × 41

=>4100rs

Therefore,the cost of fencing the field is equal to 4100rs

Answer 2

let the length be x
a/q =40*x=71400
=40x=71400
=x=71400/40=1875
Length=1875
Perimeter=2(l+b)
=2(40+1875)
2*1915=3790
Cost of fencing at ₹50 per meter =3790*50=₹187540
I hope this is correct