Question

What is `x` if the perimeter of a rectangle with sides of `x` and `2x + 6` is `27` in?

Answer 1

`x=5/2`

Explanation:

The perimeter of a rectangle is the sum of all its sides.

Each rectangle has `2` pairs congruent sides.

Thus, the sides of the rectangle are:

`x`
`x`
`2x+6`
`2x+6`

Since these are the sides, their sum will be equal to the perimeter, `27`.

`x+x+2x+6+2x+6=27`

`6x+12=27`

`6x=15`

`x=15/6`

`x=5/2`