Question

Find the perimeter of the figure given below:

• A. 20 m
• B. 40 m
• C. 49 m
• D. 35 m

Answer 1

The correct option is B 40 m

Let's name the vertex of the figure given:
The properties of a parallelogram are:

1. Opposite sides are parallel to each other
$\to$AB is parallel to CD
$\to$AC is parallel to BD
$\to$CF is parallel to EG
$\to$CE is parallel to FG

2. Parallel sides are equal in length
$\to$AB = CD = 7m
$\to$AC = BD = 5 m
$\to$CF = EG = 5 m
$\to$CE = FG = 10 m

$\Rightarrow$ DE = FG - CD$=10-7=3$m

Perimeter of this figure $=AB+BD+DE+EG+FG+CF+CA$
$=7+5+3+5+10+5+5$
$=40$ m

Option (b) is correct.