Answer: Second option.
Step-by-step explanation:
Calculate thea area of the trapezoid with the formula:
[tex]A=\frac{h}{2}(B+b)[/tex]
Where: "h" is the height of the trapezoid, "B" is the larger base of the trapezoid and "b" is the smaller base of the trapezoid.
Substituting the corresponding values into the formula, you get:
[tex]h=4\sqrt{2}cm\\B=b_1=5\sqrt{2}cm\\b=b_2=3\sqrt{2}cm\\\\A=(\frac{4\sqrt{2}cm}{2})(5\sqrt{2}cm+3\sqrt{2}cm)\\\\A=32cm^2[/tex]
This result matches with the area shown in the second option.
