Hello, sri340!
Did you make a sketch?
$\displaystyle ABCD$ is a square with area 16 mē.
$\displaystyle E$ and $\displaystyle F$ are midpoints of sides $\displaystyle AB$ and $\displaystyle BC$, respectively.
What is the area of trapezoid $\displaystyle AEFC$ ?
. . A) 8 mē . . B) 10 mē . . C) 6 mē . . D) 16 mē . . E) 12 mē Code:
E
A *-------*-------* B
| *:::::|:* |
| *:::|:::* |
| *:|:::::* |
* - - - *:-:-:-:* F
| * | *:::::|
| * | *:::|
| * | *:|
D *-------*-------* C
With a few lines, we see that the square
. . is divided into 8 congruent right triangles.
The trapezoid occupies 3 of these triangles.
Therefore . . .