Question 1184911
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Ugly numbers; you can do the details to get the answer.<br>
The 9m side is the hypotenuse of a 45-45-90 right triangle, so the length of each leg is (9/sqrt(2)) meters.  One leg is part of the longer base; the other is the height of the trapezoid.<br>
The height of the trapezoid is the long leg of a 30-60-90 right triangle; the length of the short leg is (9/sqrt(2)) divided by sqrt(3).  That short leg is the remaining part of the longer base.<br>
Now you have expressions for the height of the trapezoid, the length of the shorter base, and the lengths of the three pieces of the longer base; the area of the trapezoid is the height times the average of the two bases.<br>