+128474 We have an irregular trapezoid
If we drew a perpendicular line from the top right vertex of the figure to the base......the right half of the two figures formed would be a right triangle
The base length of this triangle is (24 - 10) = 14 units
And since one of the angles of the right triangle is 45.....the other angle at the top of the triangle is also 45....and in a 45-45-90 right triangle.....the sides opposite the 45° angles are equal....so....the height of this triangle = the base length = 14 = the height of the trapezoid
And the area of a trapezoid is
(1/2) height * ( sum of the bases) =
(1/2) (14) (24 + 10) =
7 * 34 =
238
Here is a picture to help you understand
oof. 
