Basic Math Examples

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

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

$h = h$ and bases (

$b_{1} = b_{1}$ and

$b_{2} = b_{2}$ ) into the formula for the area of a trapezoid.

$\frac{1}{2} h \cdot (b_{1} + b_{2})$

Step 3

Combine

$\frac{1}{2}$ and

$h$ .

$\frac{h}{2} \cdot (b_{1} + b_{2})$

Step 4

Apply the distributive property.

$\frac{h}{2} b_{1} + \frac{h}{2} b_{2}$

Step 5

Combine

$\frac{h}{2}$ and

$b_{1}$ .

$\frac{h b_{1}}{2} + \frac{h}{2} b_{2}$

Step 6

Combine

$\frac{h}{2}$ and

$b_{2}$ .

$\frac{h b_{1}}{2} + \frac{h b_{2}}{2}$