contestada

In trapezoid $abcd$, the parallel sides $ab$ and $cd$ have lengths of 8 and 20 units, respectively, and the altitude is 12 units. points $e$ and $f$ are the midpoints of sides $ad$ and $bc$, respectively. what is the area of quadrilateral $efcd$ in square units?

Respuesta :

1.

EF is the median of the trapezoid ABCD, thus

[tex]|EF|= \frac{|AB|+|DC|}{2}= \frac{20+8}{2}=14 [/tex] units.

2.

The median EF bisects the altitude into 2 segments of equal length 6 units.

Thus the height of trapezoid EFCD is 6, and its 2 bases have length 14 and 8 units.

3.

From the area of the trapezoid formula:

[tex]A_E_F_C_D=Height* \frac{Base_1+Base_2}{2}=6* \frac{14+8}{2}=6* \frac{22}{2}=66 [/tex] (square units)


Answer: 66 square units
Ver imagen eco92
Sh4dowolfgamer

Answer:

C-75 Third Option

Step-by-step explanation:

Ver imagen Sh4dowolfgamer