Pre-Algebra Examples

 $\begin{array}{r} l = & e r w \\ w = & w r e \end{array}$

Step 1

The perimeter of a rectangle is equal to the sum of all sides of the rectangle.

$l e n g t h + l e n g t h + w i d t h + w i d t h = 2 \cdot (l e n g t h) + 2 \cdot (w i d t h)$

Step 2

Substitute the values of the length $l = e r w$ and width $w = w r e$ into the formula for the perimeter of a rectangle.

$2 \cdot (e r w) + 2 \cdot (w r e)$

Step 3

Remove parentheses.

$2 e r w + 2 w r e$

Step 4

Simplify by adding terms.

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Step 4.1

Move $w$ .

$2 r w e + 2 r w e$

Step 4.2

Add $2 r w e$ and $2 r w e$ .

$4 r w e$