Pre-Algebra Examples



\begin{matrix} l = & 20 w = & 16 \end{matrix}

$\begin{array}{r} l = & 20 \\ w = & 16 \end{array}$

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)

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

Step 2

Substitute the values of the length

l = 20

$l = 20$ and width

w = 16

$w = 16$ into the formula for the perimeter of a rectangle.

2 \cdot 20 + 2 \cdot 16

$2 \cdot 20 + 2 \cdot 16$

Step 3

Simplify each term.

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Step 3.1

Multiply

2

$2$ by

20

$20$ .

40 + 2 \cdot 16

$40 + 2 \cdot 16$

Step 3.2

Multiply

2

$2$ by

16

$16$ .

40 + 32

$40 + 32$

40 + 32

$40 + 32$

Step 4

Add

40

$40$ and

32

$32$ .

72

$72$