Explanation:
The perimeter of the rectangular mirror is 8 ft, and it is 2 ft tall. We can make a diagram of the rectangular mirror to help us solve the problem:
Since it is 2 feet tall, the left side and the right side of the rectangle measure 2 feet.
We need to find the width of the rectangle, we will call this 'x':
And since the perimeter is the sum of all of the sides, the sum of these four sides must be 8 feet:
[tex]x+x+2+2=8[/tex]
Combining like terms:
[tex]2x+4=8[/tex]
Solving for x:
[tex]\begin{gathered} 2x=8-4 \\ \downarrow \\ 2x=4 \\ \downarrow \\ x=4/2 \\ \downarrow \\ x=2 \end{gathered}[/tex]
The width of the rectangle is 2 feet.
Answer: 2 feet
