Basic Math Examples

 $\begin{array}{r} b_{1} = & 1 \\ b_{2} = & 1 \\ h = & 7 \end{array}$

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

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

Substitute the values of the height $(h = 7)$ and bases ( $b_{1} = 1$ and $b_{2} = 1$ ) into the formula for the area of a trapezoid.

$\frac{1}{2} \cdot (7 (1 + 1))$

Add $1$ and $1$ .

$\frac{1}{2} \cdot (7 \cdot 2)$

Multiply $7$ by $2$ .

$\frac{1}{2} \cdot 14$

Cancel the common factor of $2$ .

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Write $14$ as a fraction with denominator $1$ .

$\frac{1}{2} \cdot \frac{14}{1}$

Factor out the greatest common factor $2$ .

$\frac{1}{2 \cdot 1} \cdot \frac{2 \cdot 7}{1}$

Cancel the common factor.

$\frac{1}{2 \cdot 1} \cdot \frac{2 \cdot 7}{1}$

Rewrite the expression.

$\frac{1}{1} \cdot \frac{7}{1}$

Simplify.

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Multiply $\frac{1}{1}$ and $\frac{7}{1}$ .

$\frac{7}{1}$

Divide $7$ by $1$ .

$7$

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