The polygon you have is a regular trapezoid. To find the area of a trapezoid you use the next formula:
[tex]A=\frac{1}{2}(b_1+b_2)\cdot h[/tex]
b1 is the base 1
b2 is the base 2
h is the height
For the given rapezoid:
b1: Distance between x=-1 and x=-5. b1=4 units
b2: Distance between x=-2 and x=-4. b2= 2units
h: Distance between y=-1 and y=-6. h=5 units
[tex]\begin{gathered} A=\frac{1}{2}(4u+2u)\cdot5u \\ \\ A=\frac{1}{2}(6u)\cdot5u \\ \\ A=\frac{30u^2}{2} \\ \\ A=15u^2 \end{gathered}[/tex]The area is 15 square units
