Pre-Algebra Examples

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\begin{array}{r} b = & 20 \\ h = & 20 \end{array}

$\begin{array}{r} b = & 20 \\ h = & 20 \end{array}$

Step 1

The area of a triangle is equal to

\frac{1}{2}

$\frac{1}{2}$ the base times the height.

\frac{1}{2} \cdot (b a s e) \cdot (h e i g h t)

$\frac{1}{2} \cdot (b a s e) \cdot (h e i g h t)$

Step 2

Substitute the values of the base

b = 20

$b = 20$ and height

h = 20

$h = 20$ into the formula for the area of a triangle.

\frac{1}{2} \cdot 20 \cdot 20

$\frac{1}{2} \cdot 20 \cdot 20$

Step 3

Cancel the common factor of

2

$2$ .

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Step 3.1

Factor

2

$2$ out of

20

$20$ .

\frac{1}{2} \cdot (2 (10)) \cdot 20

$\frac{1}{2} \cdot (2 (10)) \cdot 20$

Step 3.2

Cancel the common factor.

\frac{1}{2} \cdot (2 \cdot 10) \cdot 20

$\frac{1}{2} \cdot (2 \cdot 10) \cdot 20$

Step 3.3

Rewrite the expression.

10 \cdot 20

$10 \cdot 20$

10 \cdot 20

$10 \cdot 20$

Step 4

Multiply

10

$10$ by

20

$20$ .

200

$200$

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