Question

A path $2m$ long and $1m$ broad is constructed around a rectangular ground of dimensions 120 $m$ and $90m$ respectively. Find the area of the path.

Answer 1

Length of the rectangular ground $I=120m$
Breadth $b=90m$
Length of the path $W_1=2m$
Length of the path $W_2=1m$
Length of the ground with path $L=1+2\left(W_2\right)=120+2\left(1\right)m$ $=120+2=122m$
Breadth of the ground with path $B=1+2\left(W_1\right)$ units $=90+2\left(2\right)m=90+4m=94m$
$\therefore$ Area of the path $=(L\times B)-(1\times b)$ sq. units
$=(122\times 94)-(122\times 94)m^2=668m^2$
$\therefore$ Area of the path $=668m^2$