Answer:
Total cost of cementing the path = Rs. 17,000.
Explanation:
Let the square garden be ABCD
Let the region inside the garden (ABCD) be WXYZ.
Given the following data;
Length of sides of ABCD = 90m
Width of path = 5m
Cost = Rs. 10 per m²
Area of ABCD = 90 * 90
Area of ABCD = 8100m²
To find the area of WXYZ;
WX = WZ = 90 - (5 + 5)
WX = WZ = 90 - 10
WX = WZ = 80m
Area of WXYZ = WX * WZ
Substituting into the equation, we have;
Area of WXYZ = 80 * 80
Area of WXYZ = 6400 m²
Area of path = Area of ABCD - Area of WXYZ
Area of path = 8100 - 6400
Area of path = 1700 m²
Total cost of cementing the path = Area of path * cost
Total cost of cementing the path = 1700 * 10
Total cost of cementing the path = Rs. 17,000