A rectangular plot measure 125m by 78m it has a gravel path 3m wide all around on the outside find the area of path and cost of gravelling it at rupees 75 per meter square
Answers
Answer:
Given:
Length of the plot = 125 m
Breadth of the plot = 78 m
Area of plot ABCD=Length×Breadth
=125×78
=9750m
2
Length of the plot including the path =(125+3+3)m=131m
Breadth of the plot including the path =(78+3+3)m=84m
Now,
Area of plot PQRS including the path =Length×Breadth
=(131×84)
=11004m
2
Area of path = Area of plot PQRS − Area of plot ABCD
=110049750
=1254m
2
Cost of gravelling =RS75 per m
2
Cost of gravelling the whole path =RS(1254×75)=RS94050
Hence, cost of gravelling the path is RS 94050.
solution
Given :-
A rectangular plot measure 125 m by 78 m.
A gravel path 3m wide all around on the outside.
Cost of gravelling per meter = Rs. 75
To Find :-
The area of the path.
Cost of gravelling.
Analysis :-
First find the area of the rectangular plot by substituting it in the formula of area of rectangle.
Add the width to the length and breadth and find it's area too.
Subtract the area of plot from the area including the path.
Multiply the number we got to the cost per square meter.
Solution :-
We know that,
- l = Length
- b = Breadth
- w = Width
- a = Area
By the formula,
Given that,
Length (l) = 125 m
Breadth (b) = 78 m
Substituting them,
Area = 125 × 78
Area = 9750 m²
Dimensions including the path,
Length (l) = 125 + 3 + 3 =
= 125 + 6 = 131 m
Breadth (b) = 78 + 3 + 3
= 78 + 6 = 84 m
By the formula,
Area of rectangle = Length × Breadth
Substituting their values,
Area = 131 × 84
Area = 11004 m²
Now,
Area of path = Area of rectangle including the path - Area of the plot
By substituting,
Area = 11004 - 9750
Area = 1254 m²
Given that,
Cost of gravelling per meter = Rs. 75
Cost of gravelling = Cost per meter × Area of path
Substituting them,
Cost of gravelling = 1254 × 75
= Rs. 94050
Therefore, the cost of gravelling is Rs. 94050