A 2m wide path is built inside a square garden of side 35m along the border.
a). find the area of the path.
b). Also,find the cost of planting grass in the remaining portion of the garden at the rate of ₹30 per square metre.
Answers
Answer:
Area of Path = 224m^2 answer
Step-by-step explanation:
Given:-
A 2m wide path is built inside a square garden of side 35m along the border.
To find:-
a). find the area of the path.
b). Also,find the cost of planting grass in the remaining portion of the garden at the rate of ₹30 per square metre.
Solution:-
Side of the square garden =35 m
Area of a square =side×side sq.units
Area of the square garden
=35×35
Area of the square garden=1225 sq.m--------(1)
Width of the path=2m
If it is built inside of the garden then
Side of the inner square =35-2(2)=35-4=31 m
Area of the inner square
=31×31
Area of the inner square=961 sq.m----------(2)
a)Area of the Path= Area of the square garden- Area of the inner square
=>1225-961 sq.m
=>264 sq.m
Area of the path=264 sq.m
Area of the Remaining portion=Total area of the garden-Area of the Path=961 sq.m
b)Cost of the planting grass in the remaining portion of the garden per 1 sqm=Rs. 30
Area of the planting grass in the remaining portion of the garden of 961 sq.m
=>961×30
=>Rs. 28830
Answer:-
a)Area of the Path=264 sq.m
b)Total cost of planting grass in the remaining garden=Rs. 28830