# A triangle has base x+2y and height 4. What is the area?

Jan 10, 2017

$A = 2 x + 4 y$

#### Explanation:

The formula for the area of a triangle is:

$A = \frac{{h}_{b} \times b}{2}$

Where:

$A$ is the area - what we are trying to calculate
${h}_{b}$ is the height from the base - $4$ for this problem
$b$ is the length of the base - $x + 2 y$ for this problem

Substituting results in:

$A = \frac{4 \times \left(x + 2 y\right)}{2}$

$A = \frac{\cancel{4} 2 \times \left(x + 2 y\right)}{\cancel{2}}$

$A = 2 \times \left(x + 2 y\right)$

$A = 2 x + 4 y$