A rectangular grassyplot is 112m long and 78m broad. It has a gravel path 2.5m wide all around it on the inside. Find the area of path and the cost of constructing it at the rate of 1.80 per sq. m .
How grassy area is find
outside area =: 112*78 = 8736
grassy area: (112-5)(78-5) = 7811
path area: 925
cost: 925*1.8 = 1665
The outside of area =112*78=8736
The grassy area =(112-5) (78-5)
=7811
The path of area =8736
-7811
------
=925
The cost of constructing it=925*4.50
=4162.5 answer
By D. K. SIR. S. C. C. SCHOOL.
The outside of area =112*78=8736
The grassy area =(112-5) (78-5)
=7811
The path of area =8736
-7811
------
=925
The cost of constructing it=925*4.50
Ra. =4162.5 answer
By D. K. SIR. S. C. C. SCHOOL.
To find the area of the path, we need to subtract the area of the inner rectangle (grass plot) from the area of the outer rectangle (grass plot + path).
The area of the inner rectangle (grass plot) is given by:
Area of the inner rectangle = Length * Breadth
= 112m * 78m
The area of the outer rectangle (grass plot + path) can be calculated by adding the width of the path to the overall length and breadth of the inner rectangle.
Width (breadth) of outer rectangle = breadth of inner rectangle + width of path
Length of outer rectangle = length of inner rectangle + width of path
Area of the outer rectangle = Length * Breadth
= (Length of inner rectangle + width of path) * (Breadth of inner rectangle + width of path)
= (112m + 2*2.5m) * (78m + 2*2.5m)
Now, we can calculate the area of the path by subtracting the area of the inner rectangle from the area of the outer rectangle.
Area of the path = Area of the outer rectangle - Area of the inner rectangle
To find the cost of constructing the path, we need to multiply the area of the path by the given rate of construction.
Cost of constructing the path = Area of the path * Rate per square meter
Let's calculate the values:
1. Area of the inner rectangle:
Area of the inner rectangle = 112m * 78m
2. Area of the outer rectangle:
Area of the outer rectangle = (112m + 2*2.5m) * (78m + 2*2.5m)
3. Area of the path:
Area of the path = Area of the outer rectangle - Area of the inner rectangle
4. Cost of constructing the path:
Cost of constructing the path = Area of the path * Rate per square meter (given as 1.80 per sq. m)