Question

a rectangular lawn measuring 50 m by 36 m is surrounded externally by anpath which is 2 m wide. find the area of the path. also calculate the cost of levelling of the path at rupees 16 per m2

Answer 1

gn,
   length(l) of lawn = 50m
   breadth(b)of lawn = 36m
   width of path = 2m
   so the,
     length(L) of outer rectangle = 50+2+2 = 54m
     breadth(B) of outer rectangle = 36+2+2 = 40m
                   
                  Area of path = Area of outer rectangle - Area of inner lawn
                                       = L×B - l×b
                                       = 54×40 - 50×36
                                       = 2160 - 1800
                                       =360m^2
                 Cost of levelling path = 360×16
                                                   =Rs.5760
  

Answer 2

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 16 per square m

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 × 16 = 360 × 16= Rs 5760

Hence cost of levelling the path

is Rs 5760

i hope it helps you.