Pre-Algebra Examples

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

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

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

Step 3

Combine $\frac{1}{2}$ and $3$ .

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

Step 4

Add $10$ and $5$ .

$\frac{3}{2} \cdot 15$

Step 5

Multiply $\frac{3}{2} \cdot 15$ .

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Step 5.1

Combine $\frac{3}{2}$ and $15$ .

$\frac{3 \cdot 15}{2}$

Step 5.2

Multiply $3$ by $15$ .

$\frac{45}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{45}{2}$

Decimal Form:

$22.5$

Mixed Number Form:

$22 \frac{1}{2}$

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