MathDB

The rectangle shown has length

AC=32

, width

AE=20

, and

B

and

F

are midpoints of

\overline{AC}

and

\overline{AE}

, respectively. The area of quadrilateral

ABDF

is
[asy] pair A,B,C,D,EE,F; A = (0,20); B = (16,20); C = (32,20); D = (32,0); EE = (0,0); F = (0,10); draw(A--C--D--EE--cycle); draw(B--D--F); dot(A); dot(B); dot(C); dot(D); dot(EE); dot(F); label("

A

",A,NW); label("

B

",B,N); label("

C

",C,NE); label("

D

",D,SE); label("

E

",EE,SW); label("

F

",F,W); [/asy]

\text{(A)}\ 320 \qquad \text{(B)}\ 325 \qquad \text{(C)}\ 330 \qquad \text{(D)}\ 335 \qquad \text{(E)}\ 340

Problem Statement