Question

The length of a rectangle is 4 times the width.The perimeter of the rectangle is 45 inches. Write a system of equations

Answer 1

Step-by-step explanation:

Let 'L' be the length, 'W' be the width.

The length is 4 times the width:

`L=4W`

The perimeter of a rectangle is the sum of the sides, which is twice the length plus twice the width:

`2L+2W=45`

Rewriting the first equation with both variables L and W on the same side:

`L-4W=0`

Answer:

The system of equations is:

`\begin{cases}L-4W=0 \\ 2L+2W=45\end{cases}`