Question

6
A rectangular lawn measuring 50 m by 36 m is surrounded externally by a path whis
is 2 m wide. Find the area of the path. Also calculate the cost of leveling of the path
16 per m2
by using 2d(l+b-2d)​

Answer 1

   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

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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.