Answer:
The area of the trapezoid is
Step-by-step explanation:
we know that
The area of a isosceles trapezoid is equal to the area of two isosceles right triangles plus the area of a rectangle
step 1
<em>Find the area of the isosceles right triangle</em>
Remember that
In a isosceles right triangle the height is equal to the base of the triangle
we have
so
The area is equal to
substitute the values
step 2
Find the area of the rectangle
The area of the rectangle is equal to
we have
-----> is the height of the trapezoid
-----> the diagonal of the rectangle
Applying the Pythagoras Theorem
The area of the rectangle is
step 3
Find the area of the trapezoid