Answer:
The area of Figure ABCD is 25 square units
Step-by-step explanation:
we have
A(−3, 2), B(2, 2), C(2, −4), and D(−3, −2)
step 1
Plot the figure
using a graphing tool
The figure is a trapezoid
see the attached figure
step 2
Find the area of the trapezoid
The area of the trapezoid is equal to
![A=\frac{1}{2}[AD+BC]AB](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5BAD%2BBC%5DAB)
we have
---> difference in the y-coordinates
---> difference in the y-coordinates
---> difference in the x-coordinates
substitute
![A=\frac{1}{2}[4+6]5](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B4%2B6%5D5)
