Question

A piece of land 300 m long and 200 m wide has a road all around it of uniform width of 10 m outside it find the cost of leveling the road at ₹1.50 per square metre​

Answer 1

Length of land=300m

Breadth of land= 200m

Area of land=300*200

=60000sq.m

Length with road=310m

Breadth with road=210m

Total Area=l*b

=310*210

=65100sq.m

Area of road = total area- area of land

=65100-60000

=5100sq.m

Cost of leveling the road = ₹1.50 per sq.m

= ₹1.50*5100

=₹7650

Answer 2

Given:

Length of Land = 300m

Breadth of Land = 200m

Breadth of Road = 10m

Cost of leveling the road = ₹1.50 per square metre​

To Find:

Total cost of levelling the road

Solutions:

In order to find the total area of the road, we need to subtract the total land from the total area including the road.

So,

Area of land = Length of land x Breadth of land = 300 x 200 = 60000 $m^{2}$

For total area including the road,

Length = 300 + 10 + 10 = 320m

Breadth =200 + 10 + 10 = 220m

Total Area=Length x Breadth = 320 x 220 = 70400 $m^{2}$

Area of road = total area- area of land = 70400 $m^{2}$ - 60000 $m^{2}$ = 10400 $m^{2}$

Cost of leveling per $m^{2}$ = ₹1.50

Cost of leveling the road = ₹1.50 x 10400 = ₹15600

Hence, the cost of leveling the road at ₹1.50 per square metre​ is ₹15600.