Question

find the area of the figure. enter the correct number in the box. units²

Explanation:

Step1: Identify the base and height

The base of the triangle is the horizontal distance between the two bottom - most points. The two bottom - most points are at $(2,-4)$ and $(3,-4)$. The base $b=3 - 2=1$. The height $h$ is the vertical distance from the top point $(2,2)$ to the line $y = - 4$. So $h=2-(-4)=6$.

Step2: Apply the triangle area formula

The area formula for a triangle is $A=\frac{1}{2}bh$. Substitute $b = 1$ and $h = 6$ into the formula: $A=\frac{1}{2}\times1\times6$.

Answer:

3