Chapter SH, Problem 11.2E

To determine

Find the perimeter of the given figure.

Answer to Problem 11.2E

The perimeter of the given figure is $22$ in..

Explanation of Solution

Given:

The given figure is

  

Calculation:

The perimeter is the length of the outline of a figure.

Perimeter of the given figure $=$ sum of the all sides of the figure.

  

Perimeter $=AB+BC+CD+DE+EF+FG+GH+HA$

  $=\left(2+5+4+1+2+FG+GH+1\right)$ in.

  $FG=BC-\left(DE+HA\right)=5-\left(1+1\right)=3$ in.

  $GH=\left(CD+EF\right)-AB=\left(4+2\right)-2=4$ in.

  $=\left(2+5+4+1+2+3+4+1\right)$ in.

  $=22$ in.

Hence the perimeter of the given figure is $22$ in..