Pre-Algebra Examples

 $\begin{array}{r} b_{1} = & 3 \\ b_{2} = & 10 \\ h = & 5 \end{array}$

Step 1

The area of a trapezoid is equal to $\frac{1}{2}$ times the height times the sum of the bases $b_{1} + b_{2}$ .

$\frac{1}{2} \cdot (h e i g h t) \cdot (b_{1} + b_{2})$

Step 2

Substitute the values of the height $h = 5$ and bases ( $b_{1} = 3$ and $b_{2} = 10$ ) into the formula for the area of a trapezoid.

$\frac{1}{2} \cdot 5 \cdot (3 + 10)$

Step 3

Combine $\frac{1}{2}$ and $5$ .

$\frac{5}{2} \cdot (3 + 10)$

Step 4

Add $3$ and $10$ .

$\frac{5}{2} \cdot 13$

Step 5

Multiply $\frac{5}{2} \cdot 13$ .

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Step 5.1

Combine $\frac{5}{2}$ and $13$ .

$\frac{5 \cdot 13}{2}$

Step 5.2

Multiply $5$ by $13$ .

$\frac{65}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{65}{2}$

Decimal Form:

$32.5$

Mixed Number Form:

$32 \frac{1}{2}$