MathDB

ABCD

is a

2\ X\ 2

square,

E

is the midpoint of

\overline{AB}

F

is the midpoint of

\overline{BC}

\overline{AF}

and

\overline{DE}

intersect at

I

, and

\overline{BD}

and

\overline{AF}

intersect at

H

, then the area of quadrilateral

BEIH

is
[asy] size(200); defaultpen(linewidth(0.7)+fontsize(10)); pair B=origin, A=(0,2), C=(2,0), D=(2,2), E=(0,1), F=(1,0); draw(A--E--B--F--C--D--A--F^^E--D--B); label("A", A, NW); label("B", B, SW); label("C", C, SE); label("D", D, NE); label("E", E, W); label("F", F, S); label("H", (.8,0.6)); label("I", (0.4,1.4)); [/asy]

<span class='latex-bold'>(A)</span>\ \frac{1}{3}\qquad<span class='latex-bold'>(B)</span>\ \frac{2}{5}\qquad<span class='latex-bold'>(C)</span>\ \frac{7}{15}\qquad<span class='latex-bold'>(D)</span>\ \frac{8}{15}\qquad<span class='latex-bold'>(E)</span>\ \frac{3}{5}

Problem Statement