HELP!! please. What is the area of the polygon shown?

Answer:
Step-by-step explanation:
Given figure : Trapezoid
Base sides,
a = 11 cm
b = 11 - 3 = 8 cm
height ( h ) = 4 cm
Now, finding the area:
[tex] \frac{1}{2} (a + b) \: h[/tex]
plug the values
[tex] \frac{1}{2} \times (11 + 8) \times 4[/tex]
Calculate the sum
[tex] \frac{1}{2} \times 19 \times 4[/tex]
Reduce the numbers with G.C.F 2
[tex]19 \times 2[/tex]
Calculate the product
[tex]38 \: {cm}^{2} [/tex]
Hope this helps...
Best regards!