. If the cost of 2isto2/3 m cloth is 3780, find the cost of the same cloth per metre. 3 0111
Answers
Answer:
Step-by-step explanation:
Refer attached figure.
Given:- In Rectangular plot ABCD,
Length(L) AD=BC = 35 m, Width (W) AB=DC=20 m.
path width(w) = 2 m .
Cost per square per meter of paving with bricks = Rupees 25.
Cost per square metre for covering remaining area with grass = Rupees 19.
To find:- cost of paving the path with bricks=?
cost of covering remaining part of the plot with grass=?
Solution:-
Refer attached figure.
Let the rectangular plot be ABCD, and the inscribed rectangle be PQRS.
Now,
Length of rectangle PQRS (l) = length of rectangle ABCD(L) - 2 times the width of path(w)
Therefore length of rectangle PQRS () = 31 m. ---------(equation 1)
Width of rectangle PQRS (b) = Width of rectangle ABCD(W) - 2 times the width of path(w)
Therefore width of rectangle PQRS () = 16 m. ----------(equation 2)
Now,
Area of rectangle ABCD =
Area of rectangle ABCD = 700 square metre. --------(equation 3)
Now,
Area of rectangle PQRS =
-------------------(from equation 1 and 2)
Area of rectangle PQRS = 496 square metre. ---------(equation 4)
Now,
Area of path = Area of rectangle ABCD - Area of rectangle PQRS
Area of path = 700-496 -----------(from equation 3 and 4)
Area of path = 204 square metre. -------------(equation 5)
Remaining area = Area of rectangle PQRS
Remaining Area = 496 square meter. ----------------(equation 6)
Now,
Cost of paving the path with brick at rupees 25 per square metre.
Cost of paving=total area of path cost per square meter of paving
Cost of paving = 204 25 = 5100
Cost of paving the path with bricks is Rupees 5100.
Now,
Cost of covering remaining area with grass = remaining area cost per square metre for covering with grass
Cost of covering remaining area with grass = 496 19
Cost of covering remaining area with grass = 9424
Cost of covering remaining area with grass is Rupees 9424.