A rectangular grassy plot is 112 m long and 78 m broad. It has a gravel path 2.5 m wide all around it on the side. Find the area of the path and the cost of constructing it at Rs. 4.50 per square metre.
A rectangular grassy plot is 112 m long and 78 m broad. It has a gravel path 2.5 m wide all around it on the side. Find the area of the path and the cost of constructing it at Rs. 4.50 per square metre.
Given: The length of a rectangular grassy plot is 112 m and its width is 78 m. Also, it has a gravel path of width 2.5 m around it on the sides. Its rough diagram is given below:
Length of the inner rectangular field =112−(2×2.5)=107 m
The width of the inner rectangular field =78−(2×2.5)=73 m
∴ Area of the path = (Area of the rectangle with sides 112 m and 78 m) − (Area of the rectangle with sides 107 m and 73 m)
=(112×78)−(107×73)=8736−7811=925 m2
Now, the cost of constructing the path is Rs. 4.50 per square meter.
∴ Cost of constructing the complete path =925×4.50=Rs. 4162.5
Thus, the total cost of constructing the path is Rs. 4162.5
Given: The length of a rectangular grassy plot is 112 m and its width is 78 m. Also, it has a gravel path of width 2.5 m around it on the sides. Its rough diagram is given below:
Length of the inner rectangular field =112−(2×2.5)=107 m
The width of the inner rectangular field =78−(2×2.5)=73 m
∴ Area of the path = (Area of the rectangle with sides 112 m and 78 m) − (Area of the rectangle with sides 107 m and 73 m)
=(112×78)−(107×73)=8736−7811=925 m2
Now, the cost of constructing the path is Rs. 4.50 per square meter.
∴ Cost of constructing the complete path =925×4.50=Rs. 4162.5
Thus, the total cost of constructing the path is Rs. 4162.5
