a rectangular lawn measuring 50 m by 36 m is surrounded externally by a path which is 2 m wide . find the area of the path . also , find the cost of levelling the path at rupees 3.25 per m square
Answers
Hope this will help
Question:-
a rectangular lawn measuring 50 m by 36 m is surrounded externally by a path which is 2 m wide . find the area of the path . calculate the cost of levelling of the path at Rs 3.25 per m².
solution:-
Let, L be the length of rectangle and B be the breadth rectangle.
By Question:-
We know formula of
=> Area of rectangle = L × B
=> Area of rectangle = 50 × 36
=> Area of rectangle = 1800 m²
=> X = 1800 m²
we know that length and breadth increase by 2 m from their both ends.
so,
=> L = 50 + 2 + 2 = 54 m.
=> B = 36 + 2 + 2 = 40 m.
We know formula of
=> Area of rectangle + path = L × B
=> Area of rectangle + path
= 54 × 40
=> Area of rectangle + path
= 2160 m²
=> Z = 2160 m²
=> Area of path =( Z ) - ( X )
=> Area of path = 2160 - 1800
=> Area of path = 360 m²
Area of path 360 m².
To finding cost of surfing the path
=>Area ×Rs 3.25 = 360 × 3.25
= Rs 1170
Hence cost of levelling the path
is Rs 1170
i hope it helps you.