To find the cost involved in leveling the two crossroads on the lawn, we need to calculate the total area of the roads and then multiply it by the cost per square meter.

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Solution of “Two 2 m wide cross roads in a lawn 150 m by 120 m dimensions…”

1. Find the area of the two crossroads

We need to find the area of the two crossroads. One of the crossroads is parallel to the length, and the other is parallel to the breadth. Each crossroad is 2 meters wide.

Area of the Lengthwise Crossroad = Length of Lawn × Width of Crossroad

Area of the Lengthwise Crossroad = 150 m × 2 m

Area of the Lengthwise Crossroad = 300 square meters

Area of the Breadth-wise Crossroad = Breadth of Lawn × Width of Crossroad

Area of the Breadth-wise Crossroad = 120 m × 2 m

Area of the Breadth-wise Crossroad = 240 square meters

2. Add the areas of both crossroads

Now, add the areas of both crossroads to find the total area of the roads:

Total Area of Roads = Area of Length-wise Crossroad + Area of Breadth-wise Crossroad

Total Area of Roads = 300 square meters + 240 square meters

Total Area of Roads = 540 square meters

3. Deduct a 2 meter by 2 meter area

Now, we need to deduct a 2 meter by 2 meter area from this total area because it is overlapping:

Area to Deduct = 2 meters × 2 meters = 4 square meters

Subtract this area from the total area:

Remaining Area = Total Area of Roads – Area to Deduct

Remaining Area = 540 square meters – 4 square meters

Remaining Area = 536 square meters

4. Calculate the cost

Now, calculate the cost for the remaining area at Rs. 2 per square meter:

Cost = Remaining Area × Cost per Square Meter

Cost = 536 square meters × Rs. 2/square meter

Cost = Rs. 1,072

So, the cost involved in leveling the two crossroads on the lawn would be Rs. 1,072.