A 3m wide path runs along the inside of a sq. Park of side 125m.find d cost of constructing it at Rs 4.50per square meter.
Gve me soltn and ans. Is Rs 6588
area of park = 125^2 = 15625
area inside walk is (125-2*3)^2 = 119^2 = 14161
so, area of walk = 1464
cost is thus 1464 * 4.5 = 6588
Thank u :)
To find the cost of constructing the 3m wide path along the inside of the square park, we need to determine the area of the path and then multiply it by the cost per square meter.
1. Calculate the area of the park:
The park is a square with a side length of 125m, so its area is given by: 125m * 125m = 15625 square meters.
2. Calculate the area of the inner square:
Since the path runs along the inside, the side length of the inner square will be the side length of the outer square minus twice the width of the path.
The side length of the inner square is: 125m - (2 * 3m) = 125m - 6m = 119m.
The area of the inner square is: 119m * 119m = 14161 square meters.
3. Calculate the area of the path:
The area of the path is obtained by subtracting the area of the inner square from the area of the outer square:
Area of the path = Area of the outer square - Area of the inner square
= 15625 square meters - 14161 square meters
= 1464 square meters.
4. Calculate the cost of constructing the path:
The cost per square meter is given as Rs 4.50.
The cost of constructing the path is obtained by multiplying the area of the path by the cost per square meter:
Cost of path = Area of the path * Cost per square meter
= 1464 square meters * Rs 4.50/square meter
= Rs 6588.
Therefore, the cost of constructing the 3m wide path at Rs 4.50 per square meter is Rs 6588.
To find the cost of constructing the 3m wide path inside the square park, we need to calculate the area of the path and then multiply it by the cost per square meter.
First, we need to calculate the area of the square park. The area of a square is given by the formula side * side. In this case, the side is 125m, so the area of the park is 125m * 125m = 15625 square meters.
Next, we need to calculate the area of the path. Since the path is 3m wide and runs along the inside of the park, we can calculate the area of the path by subtracting the area of the park from the area of the larger square that has sides increased by the width of the path.
The sides of the larger square would be 125m + 3m + 3m = 131m. Therefore, the area of the larger square is 131m * 131m = 17161 square meters.
Now we can calculate the area of the path by subtracting the area of the park from the area of the larger square: 17161 square meters - 15625 square meters = 1536 square meters.
Finally, we can find the cost of constructing the path by multiplying the area of the path by the cost per square meter: 1536 square meters * Rs 4.50 per square meter = Rs 6912.
Therefore, the cost of constructing the 3m wide path is Rs 6912, not Rs 6588 as mentioned in the question.