Question

A rectangular lawn of length 50metre and breadth 35 metre is to be surrounded externally by a path which is 2 metre wide .Find the cost of levelling the path at the rate of ₹30 per metre square
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Answer 1

Answer:

Rs. 10680

Step-by-step explanation:

Inner  rectangle                             Outer rectangle

l =  50m                                           L  =  54m    

b= 35m                                           B  =  39m

Area of the path   = Area of outer rectangle   -  Area of inner rectangle

                              =      ( L x B )      -  ( l x b)

                             =   ( 54 x 39 )   -  (50 X35)

                            =   2106   -  1750

                            =  356  m²

Cost of levelling   =  356 x 30

                              = Rs. 10680

Answer 2

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 levelling the path at the rate of `30 per m². Please help me in this today is exam

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 356 m².

To finding cost of surfing the path

=>Area ×Rs 30 = 360 × 30

= Rs 10680

Hence cost of levelling the path

Hence cost of levelling the pathis Rs 10680

i hope it helps you.