Pre-Algebra Examples

 $\begin{array}{r} b_{1} = & 15.8 \\ b_{2} = & 11.7 \\ h = & 21.8 \end{array}$

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 $h = 21.8$ and bases ( $b_{1} = 15.8$ and $b_{2} = 11.7$ ) into the formula for the area of a trapezoid.

$\frac{1}{2} \cdot 21.8 \cdot (15.8 + 11.7)$

Step 3

Combine $\frac{1}{2}$ and $21.8$ .

$\frac{21.8}{2} \cdot (15.8 + 11.7)$

Step 4

Simplify the expression.

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Step 4.1

Divide $21.8$ by $2$ .

$10.9 \cdot (15.8 + 11.7)$

Step 4.2

Add $15.8$ and $11.7$ .

$10.9 \cdot 27.5$

Step 4.3

Multiply $10.9$ by $27.5$ .

$299.75$