Question

Critical Thinking Around a park of length 60 m and width 40 m. a path of width 5 m is to be constructed. A flower bed of width 3 m is also to be path and flower bed if the costs of constructing the path and planting the flower bed constructed inside the park. Find the total cost of constructing the are ₹7 per sq m and ₹4 per sq m respectively.​

Answer 1

The total cost is ₹2340. To find the total cost of constructing the path and flower bed inside the park, calculate the areas of the path and flower bed and multiply them by their respective costs per square meter.

Step-by-step explanation:

To find the total cost of constructing the path and flower bed inside the park, we need to calculate the areas of the path and flower bed and then multiply them by their respective costs per square meter.

First, calculate the area of the path:

Length of the park = 60 m

Width of the park = 40 m

Width of the path = 5 m

Area of the path = (Length of the park + 2 * Width of the park) * Width of the path

Area of the path = (60 + 2 * 40) * 5 = 300 sq m

Next, calculate the area of the flower bed:

Width of the flower bed = 3 m

Area of the flower bed = (Length of the park - 2 * Width of the park) * Width of the flower bed

Area of the flower bed = (60 - 2 * 40) * 3 = 60 sq m

Now, multiply the areas by their respective costs per square meter:

Total cost of constructing the path = Area of the path * Cost per square meter

Total cost of constructing the path = 300 * ₹7 = ₹2100

Total cost of planting the flower bed = Area of the flower bed * Cost per square meter

Total cost of planting the flower bed = 60 * ₹4 = ₹240

Finally, calculate the total cost by adding the costs of constructing the path and planting the flower bed:

Total cost = Total cost of constructing the path + Total cost of planting the flower bed

Total cost = ₹2100 + ₹240 = ₹2340