Question

find the cost of fencing a rectangular field 3420 cm long and 1630 cm wide @ rupees 40 per metre what will be the cost of turfing it @ rupees 21 per square metre​

Answer 1

Hey friend,

Here is the solution :-

Here, length = 3420 cm = 34.2 m

And breadth = 1630 cm = 16.3 m

Now first condition :-

We have to find the cost of fencing,

So firstly we have to find the perimeter of the rectangle =

$perimeter \: of \: a \: rectangle \: = 2(length + breadth) \\ \\ perimeter = 2(34.2 + 16.3) \\ \\ perimeter = 2(50.5) \\ \\ we \: get \: perimeter = 101 \: metre \\ \\ now \: cost \: of \: fencing \: per \: meter \: = 40 \\ \\ cost \: of \: 101 \: metre \: = 101 \times 40 = 4040$

So, cost of fencing the rectangular field is ₹ 4040.

Now second condition :-

Here, we have to find the cost of turfing the field, so we have to find the area of the rectangular field first :-

$area \: of \: a \: rectangle \: = length \times breadth \\ \\ area \: = 34.2 \times 16.3 = 557.4 \: {m}^{2} \\ \\ now \: cost \: of \: turfing \: per \: square \: metre \: = 21 \\ \\ cost \: of \: turfing \: {577.4 \: m}^{2} = 577.4 \times 21 = 11705.4$

So, the cost of turfing the rectangular field = ₹ 11705.4

So, cost of fencing the field = ₹ 4040 and cost of turfing the field = ₹ 11705.4

✨I hope this will help you....✨