Question

find the area of each figure. 15.

Explanation:

Step1: Identify base and height

The base of the triangle lies on the x - axis. The length of the base $b$ is from $x=-3$ to $x = 3$, so $b=6$. The height $h$ of the triangle is from the x - axis to the point on the y - axis, so $h = 4$.

Step2: Apply triangle area formula

The area formula for a triangle is $A=\frac{1}{2}bh$. Substitute $b = 6$ and $h=4$ into the formula: $A=\frac{1}{2}\times6\times4$.

Step3: Calculate the area

$A=\frac{1}{2}\times6\times4=12$.

Answer:

12