A rectangular park is 45 m long and 30 m wide. A road 5 m wide is construced outside the park. Find the area of the road . The estimated cost of constructing the road is Rs 1,70,000 at Rs 200 per sq.m.Is it right?

correct, if you meant 170,000

To find the area of the road, we need to find the area of the outer rectangle formed by the park and the road and then subtract the area of the park.

The length of the outer rectangle can be calculated by adding twice the width of the road to the length of the park:
Length of outer rectangle = Length of park + 2 * Width of road
= 45m + 2 * 5m
= 45m + 10m
= 55m

Similarly, the width of the outer rectangle can be calculated by adding twice the width of the road to the width of the park:
Width of outer rectangle = Width of park + 2 * Width of road
= 30m + 2 * 5m
= 30m + 10m
= 40m

Now, we can calculate the area of the road by subtracting the area of the park from the area of the outer rectangle:

Area of outer rectangle = Length of outer rectangle * Width of outer rectangle
= 55m * 40m
= 2200 sq.m

Area of park = Length of park * Width of park
= 45m * 30m
= 1350 sq.m

Area of road = Area of outer rectangle - Area of park
= 2200 sq.m - 1350 sq.m
= 850 sq.m

Now, let's calculate the cost of constructing the road:

Cost per square meter = Rs 200

Total cost of constructing the road = Area of road * Cost per square meter
= 850 sq.m * Rs 200 per sq.m
= Rs 1,70,000

Therefore, the estimated cost of constructing the road is Rs 1,70,000, which is correctly calculated.