A path 3m wide runs along the inside of a rectangular plot of dimension 30m and 24m . Find the cost of levelling the path at rupees 32 per m square .
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Given,
- Width of the path = 3 m
- Length of the rectangular plot = 30 m
- The breadth of the rectangular plot = 24 m
To find,
- We have to find the cost of leveling the path at rupees 32 per m square.
Solution,
We can simply find the cost of leveling the path at rupees 32 per m square.
Outer length of the rectangular plot = 30 m
Width of the path = 3 m
Inner length of the rectangular plot = 30-3-3 [3 from both the sides]
= 30-6
= 24 m
Outer breadth of the rectangular plot = 24 m
Width of the path = 3 m
Inner breadth of the rectangular plot = 24-3-3 [3 from both the sides]
= 24 -6
= 18 m
As we know,
Area of the rectangle = length * breadth
Outer area of the rectangular plot = 30 * 24
= 720 m²
Inner area of the rectangular plot = 24 * 18
= 432 m²
Area of path = Area of outer rectangular plot - area of the inner rectangular plot
Area of path = 720 -432
= 288 m²
Now, the cost of leveling the path of 1m² = Rs. 32
the cost of leveling the path of 288 m² = 288 *32
= Rs. 9216
Hence, a path 3m wide runs along the inside of a rectangular plot of dimensions 30m and 24m then the cost of leveling the path at rupees 32 per m square is Rs. 9216.