Question

a rectangular lawn measuring 50 m by 36 metre is surrounded externally by a path which is 2 metre wide find the area of the path also calculate the cost of levelling of the path and rupees 60 per metre square

Answer 1

l=50m
b=36m
width=2m
cost per msq=60
area of  big rectangle - area of small rectandle  = (l+4) x (b+4) - l x b =  54 x 40 - 50 x 36  = 2160 - 1800 = 360msq
 cost = 360 x 60 = 21600rupees

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 60 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 × 60 = 360 × 60= Rs 21600

Hence cost of levelling the path

is Rs 21600

i hope it helps you.