Basic Math Examples

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\begin{matrix} b_{1} = & 1 b_{2} = & 1 h = & 7 \end{matrix}

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

Step 1

The area of a trapezoid is equal to

\frac{1}{2}

$\frac{1}{2}$ times the height times the sum of the bases

b_{1} + b_{2}

$b_{1} + b_{2}$ .

\frac{1}{2} \cdot (h e i g h t) \cdot (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 = 7

$h = 7$ and bases (

b_{1} = 1

$b_{1} = 1$ and

b_{2} = 1

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

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

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

Step 3

Combine

\frac{1}{2}

$\frac{1}{2}$ and

7

$7$ .

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

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

Step 4

Add

1

$1$ and

1

$1$ .

\frac{7}{2} \cdot 2

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

Step 5

Cancel the common factor of

2

$2$ .

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Step 5.1

Cancel the common factor.

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

Step 5.2

Rewrite the expression.

$7$