Question

The cost of fencing a square lawn at Rs 14 per metre is Rs 28000. Find the cost of mowing the lawn at Rs 54 per 100 m2.

Answer 1

Answer:

Rs. 135000

Step-by-step explanation:

Given:-

Total cost of fencing the square lawn = Rs. 28000

Cost per meter = Rs. 14

Solution:-

Perimeter of the square lawn = 28000/14 = 2000 m

Side of the square lawn = 4 × s

Perimeter of square = 2000 m

⇒ 4 x s = 2000 m  

⇒ s = 2000 m / 4            

⇒ s = 500 m

Each side of square lawn = 500 meter

Then,

Area of square = side²

= 500 × 500

= 250000 m²

Total cost of mowing = (250000 × 54)/100

Total cost of mowing = Rs. 135000 (Answer)

Answer 2

Answer:

Required cost of mowing the square lawn is Rs 135000.

Step-by-step explanation:

It is given that the cost of fencing a square lawn at Rs 14 per metre is Rs 28000, it means that one has to pay Rs 14 on the fencing of 1 metre.

= > Cost of fencing = Rate of fencing x area to be fenced( or perimeter of lawn )

= > Rs 28000 = Rs 14 / m x perimeter of lawn

= > Rs 28000 x m / Rs 14 = perimeter of lawn

= > 2000 m = Perimeter of lawn

Let the side of the square lawn be a m,

= > Perimeter of square = 2000 m

= > 4 x a m= 2000 m { Perimeter of square = 4 x side }

= > a m = 2000 m / 4

= > a m = 500 m

Hence the required length of side of square lawn is 500 m.

Then,

= > Area of square = side^2 { Formula }

= > Area of this square = ( 500 m )^2

= > Area of this square = 250000 m^2

Thus,

= > Cost of mowing the lawn = Rate of mowing x area of square( or area to be mowed )

= > Cost of mowing = ( Rs 54 / 100 m^2 ) x 250000 m^2

= > Cost of mowing = Rs 54 / 100 m^2 x 250000 m^2

= > Cost of mowing = Rs 54 / 100 x 250000

= > Cost of mowing = Rs 54 x 2500

= > Cost of mowing = Rs 135000

Hence the required cost of mowing the square lawn is Rs 135000.