Finite Math Examples

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

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 ( $b_{1} = b$ and $b_{2} = y$ ) into the formula for the area of a trapezoid.

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

Step 3

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

$\frac{h}{2} \cdot (b + y)$

Step 4

Apply the distributive property.

$\frac{h}{2} b + \frac{h}{2} y$

Step 5

Combine $\frac{h}{2}$ and $b$ .

$\frac{h b}{2} + \frac{h}{2} y$

Step 6

Combine $\frac{h}{2}$ and $y$ .

$\frac{h b}{2} + \frac{h y}{2}$