Please help with this I am giving brainliest!

52 square units

Step-by-step explanation:

Drop a perpendicular from the top left vertex to the bottom base creating a right triangle. You have a 30-60-90 right triangle with the ratio of the lengths of the sides being 1 : sqrt(3) : 2

Then, the height of the trapezoid is the triangle's opposite leg to the 60-deg angle.

The triangle's adjacent leg to the 60-deg angle is half the hypotenuse, or 3 units.

The height is sqrt(3) times the adjacent leg.

The base of the trapezoid has length 3 + 7 + 3 = 13

A = (b1 + b2)h/2

A = (13 + 7)(3sqrt(3))/2

A = 51.96

52 square units

angle uzt is congruent to angle tzy. angle vzw is congruent to angle yzx.

(credits to leowren)

step-by-step explanation: