Pre-Algebra Examples

 $\begin{array}{r} l = & 290 \\ w = & \frac{2}{3} L \end{array}$

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 $l = 290$ and width $w = \frac{2}{3}$ into the formula for the perimeter of a rectangle.

$2 \cdot 290 + 2 \cdot \frac{2}{3}$

Step 3

Simplify each term.

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Step 3.1

Multiply $2$ by $290$ .

$580 + 2 \cdot \frac{2}{3}$

Step 3.2

Multiply $2 (\frac{2}{3})$ .

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Step 3.2.1

Combine $2$ and $\frac{2}{3}$ .

$580 + \frac{2 \cdot 2}{3}$

Step 3.2.2

Multiply $2$ by $2$ .

$580 + \frac{4}{3}$

Step 4

To write $580$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$580 \cdot \frac{3}{3} + \frac{4}{3}$

Step 5

Combine $580$ and $\frac{3}{3}$ .

$\frac{580 \cdot 3}{3} + \frac{4}{3}$

Step 6

Combine the numerators over the common denominator.

$\frac{580 \cdot 3 + 4}{3}$

Step 7

Simplify the numerator.

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Step 7.1

Multiply $580$ by $3$ .

$\frac{1740 + 4}{3}$

Step 7.2

Add $1740$ and $4$ .

$\frac{1744}{3}$

$\frac{1744}{3} L$