Question

The cost of levelling a square lawn at rupees 15 per m.sq is Rs 20,535. Find the cost of fencing the lawn at Rs 22 per m. sq​

Answer 1

Answer: 3256

Step-by-step explanation:

Cost of levelling a square lawn at Rs 15 per m. sq = Rs 20535

According to the question,

Area of the lawn x cost at which it is fenced per m. sq= Total Cost

=> s x s x 15 = 20535

=> s x s = 20535/15

=> s x s = 1369

=> s = 37

Now,

The perimeter of the lawn = 4 x s

= 4 x 37

= 148

Therfore, the new cost of fencing the lawn at Rs 22 per m. sq = Perimeter x Cost of fencing

= 148 x 22

= Rs 3256

(By the way fencing is never calculated on per m. sq. It is related to the fencing of the boundary i. e. the perimeter not the area.)

Answer 2

Cost of levelling given is 20535₹

15 per square meter

Area of square loan=20535/15

=1369 m2

Area of square=(side)^2

$side = \sqrt{1369}$

side=37 m

Perimeter of square=4×side

=4×37

=148 m

now cost of fencing is 22/ m2

Total cost of fencing=22×148

=3256₹