Question

The diagram given below shows paths drawn inside a rectangular field $50m$ long and $35m$ wide. The width of each path is $5$ metres. Find the area of the shaded portion.

Answer 1

Length of rectangle ABCD $=50m$

Breadth of rectangle ABCD $=5m$

Area of rectangle ABCD $=L\times B$

$=50\times 5$

$=250m^2$

Length of rectangle EFGH $=35m$

Breadth of rectangle EFGH $=5m$

Area of rectangle EFGH $=35\times 5$

$=175m^2$

Length of rectangle ILKL $=5m$

Breadth of rectangle IJKL $=5m$

Area of rectangle IJKL $=35\times 5$

$=175m^2$

Now,

Area of shaded portion $=$ (Area of ABCD $+$ Area of EFGH) $-$ Area of IJKL

$=(250+175)-25$

$=425-25$

$=400m^2$

Hence area of shaded portion is $400m^2$