Question

the cost of cultivating a rectangular field at 35 per square metre is 71400 if the width of the field is 40 m find its length also find the cost of fencing the field at 50 per metre

Answer 1

Heya friend!

Thank you for asking this question! I will try my best to explain in way better.

So you may know the formula of Area of rectangle. Here we have to find the area and not perimeter because the question describes above a field and fields consume the surface not the outline of the rectangular field.

So area of rectangle= (length * breadth)*35 (to find the cost)

Note: we are multiplying the area by 35 because it is mentioned that the cost of each square meter is 35.

Area of rectangle = Length*breadth*35
71400                  = length * 40*35
71400/35           = length*40
2040                  = length*40

So 2040 square meter is the area of the rectangular field.

Area of rectangle= length*breadth
2040                  = length*40
2040/40            = length
51                    = length

So the length of the rectangle is 51 m

To find the cost of fencing the field at 50 per meter we have to find the perimeter of the rectangle.

Perimeter of rectangle= 2(length+breadth)
                                   = 2(51+40)
                                   =  2(91)
                                  = 182 m

Now multiply it by 50 

182*50
=9100

the cost of fencing the field is rupees 9100