Question

rectangular lawn of length 50 and breadth 30 is to be surrounded externally by a path which is 2 metre wide find the area of the path

Answer 1

area of the plot 50×30
are of plot with path 52×32
area of path =area of plot with path-are of plot
{52×32}-50×30
=164

Answer 2

Question:-

A rectangular lawn of length 50m and breadth 30m is to be surrounded externally by a path which is 2m wide . find the area of the path .

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 × 30

=> Area of rectangle = 1500 m²

=> X = 1500 m²

we know that length and breadth increase by 2 m from their both ends.

so,

=> L = 50 + 2 + 2 = 54 m.

=> B = 30 + 2 + 2 = 34 m.

We know formula of

=> Area of rectangle + path = L × B

=> Area of rectangle + path = 54 × 34

=> Area of rectangle + path = 1836 m²

=> Z = 1836 m²

=> Area of path =( Z ) - ( X )

=> Area of path = 1836 - 1500

=> Area of path = 336 m²

Hence area of path 336 m².

i hope it helps you.