Answer:
Area = 170 ft^2
Step-by-step explanation:
Area of Trapezoid is given by the formula
Where
b1 and b2 are the two bases (parallel sides)
h is the height
<em>In our diagram, the two bases are 12 and 22, but the height (let it be h) isn't given.</em> To find the height (the dotted line), we use the right triangle which has an angle given as 45°.
Since the height is the "opposite" side to angle and we know the base of the triangle (22-12=10), which is the "adjacent" side, we can use the ratio of tan. Note, tan 45° = 1.
Now we can plug the information into the formula and solve for area. So:
Area =
Thus Area = 170 ft^2