Question

what is the area of △cde? area = square units

Explanation:

Step1: Identify base and height

From the graph, for $\triangle CDE$, if we consider the horizontal - line segment $EC$ as the base and the vertical - line segment from $D$ to $EC$ as the height. The coordinates of $E(-8,6)$, $C(10,6)$ and $D(10, - 9)$. The length of the base $EC$ is the difference in the $x$ - coordinates of $E$ and $C$. The length of the height is the difference in the $y$ - coordinates of $C$ and $D$.
The length of $EC=\vert10-(-8)\vert = 18$.
The length of the height from $D$ to $EC$ is $\vert6 - (-9)\vert=15$.

Step2: Apply area formula

The area formula for a triangle is $A=\frac{1}{2}\times base\times height$.
Substitute base = 18 and height = 15 into the formula: $A=\frac{1}{2}\times18\times15$.
$A = 135$.

Answer:

135