Question

Find the length and width of a rectangle with the following information belowArea = 2x^2 + 3x Perimeter = 6x + 6

Answer 1

Length: L

Width: W

The area of a rectangle is:

`A=L\cdot W`

The perimeter of a rectangle is:

`P=2W+2L`

Given information:

`\begin{gathered} A=2x^2+3x \\ \\ P=6x+6 \end{gathered}`
`\begin{gathered} L\cdot W=2x^2+3x \\ 2W+2L=6x+6 \end{gathered}`

Solve L in the second equation (Perimeter):