#1**+3 **

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

CPhill
Jun 28, 2018