Pre-Algebra Examples

 $\begin{array}{r} b = & 12 cm \\ h = & y \end{array}$

Step 1

The area of a triangle is equal to $\frac{1}{2}$ the base times the height.

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

Step 2

Substitute the values of the base $b = 12$ and height $h = y$ into the formula for the area of a triangle.

$\frac{1}{2} \cdot 12 \cdot y$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $12$ .

$\frac{1}{2} \cdot (2 (6)) \cdot y$

Step 3.2

Cancel the common factor.

$\frac{1}{2} \cdot (2 \cdot 6) \cdot y$

Step 3.3

Rewrite the expression.

$6 \cdot y$

$6 y {(cm)}^{2}$