Find the area of the trapezoid

Answer:
Explanation:
A trapezoid , uisng the inclusive definition, is a quadrilateral with at least two paralell bases.
In the given trapezoid, the lengths of the parallel bases are:
The formula to find the area, A, of a trapezoid is:
Substituting you find:
For this case we have that by definition, the area of a trapezoid is given by:
[tex]A = \frac {1} {2} (B_ {1} + B_ {2}) * h[/tex]
Where:
[tex]B_ {1}[/tex]: Major Base
[tex]B_ {2}[/tex]: Minor Base
h: Height
According to the data we have:
[tex]B_ {1} = 29.2 \ in\\B_ {2} = 20 \ in\\h = 12.5 \ in\\[/tex]
Substituting we have:[tex]A = \frac {1} {2} (29.2 + 20) * 12.5\\A = \frac {1} {2} (49.2) * 12.5\\A = 307.5 \ in ^ 2[/tex]
Finally, the area of the trapezoid is:
[tex]A = 307.5 \ in ^ 2[/tex]
Answer:
[tex]A = 307.5 \ in ^ 2[/tex]