Someone please help and explain!!!! much appreciated lol

The shape is a trapezium.
To find the area you need the perpendicular height. Can you write the height in terms of theta? (Hint: Trig will be involved.)
Also you need to find the length along the top. Can you write this length in terms of theta?
 
Draw lines from the two bottom corners perpendicular to the top. That divides the figure into two right triangles and a rectangle. Since the top and bottom lines are parallel, the upper right and upper left angles are also \(\displaystyle \theta\).
 
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