Question

The perimeter of a rectangular bathroom mirror is 8 feet. The mirror is 2 feet tall. How wideis it?

Answer 1

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:

`x+x+2+2=8`

Combining like terms:

`2x+4=8`

Solving for x:

`\begin{gathered} 2x=8-4 \\ \downarrow \\ 2x=4 \\ \downarrow \\ x=4/2 \\ \downarrow \\ x=2 \end{gathered}`

The width of the rectangle is 2 feet.

Answer: 2 feet