Pre-Algebra Examples

 $\begin{array}{r} l = & L \cdot L w \cdot w \\ w = & 0.12 \end{array}$

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 $l = L \cdot L w \cdot w$ and width $w = 0.12$ into the formula for the perimeter of a rectangle.

$2 \cdot (L \cdot L w \cdot w) + 2 \cdot 0.12$

Step 3

Simplify each term.

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Step 3.1

Multiply $L$ by $L$ .

$2 \cdot (L^{2} w \cdot w) + 2 \cdot 0.12$

Step 3.2

Multiply $w$ by $w$ by adding the exponents.

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Step 3.2.1

Move $w$ .

$2 \cdot (L^{2} (w \cdot w)) + 2 \cdot 0.12$

Step 3.2.2

Multiply $w$ by $w$ .

$2 \cdot (L^{2} w^{2}) + 2 \cdot 0.12$

Step 3.3

Multiply $2$ by $0.12$ .

$2 L^{2} w^{2} + 0.24$