Question

If the perimeter of the given figure is $20m$, then the value of $x$ is:

• A. $1m$
• B. $3m$
• C. $2m$
• D. $4m$

Answer 1

The correct option is C $2m$

The perimeter of a shape is defined as the total distance around the shape.
Perimeter = Sum of all of the side lengths
$=x+5+1+3+3+1+5=x+18$

Given, Perimeter $=20$
$\Rightarrow x+18=20$
Subtract $18$ from both sides
$\Rightarrow x+18-18=20-18\Rightarrow x=2$

Hence, the value of $x$ is $2m.$
Option (c.) is the correct option.