7) A rectangular lawn of length 50 m and breadth 35 m is to be surrounded externally by a path which is 2 m wide. Find the cost of surfing the path at the rate of $3 per m².
Answers
cost is $. IO68,Answer to this qn
Question:-
A rectangular lawn of length 50 m and breadth 35 m is to be surrounded externally by a path which is 2 m wide. Find the cost of surfing the path at the rate of $3 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 × 35
=> Area of rectangle = 1750 m²
=> X = 1750 m²
we know that length and breadth increase by 2 m from their both ends.
so,
=> L = 50 + 2 + 2 = 54 m.
=> B = 35 + 2 + 2 = 39 m.
We know formula of
=> Area of rectangle + path = L × B
=> Area of rectangle + path
= 54 × 39
=> Area of rectangle + path
= 2106 m²
=> Z = 2106 m²
=> Area of path =( Z ) - ( X )
=> Area of path = 2106 - 1750
=> Area of path = 356 m²
Area of path 336 m².
To finding cost of surfing the path
=> Area × $ 3 = 356 × 3 = $ 1068
Hence cost of surfing the path
is $ 1068
i hope it helps you.