{"status": "success", "data": {"description_md": "In the diagram, $ABCD$ is a trapezoid with $AB$ parallel to $CD$ and with $AB = 2$ and $CD = 5$. Also, $AX$ is parallel to $BC$ and $BY$ is parallel to $AD$. If $AX$ and $BY$ intersect at $Z$, and $AC$ and $BY$ intersect at $W$, the ratio of the area of $\\triangle AZW$ to the area of trapezoid $ABCD$ is\n\n
\"figure\"
\n\n$\\text{(A)}\\ 7 : 105\\qquad\\text{(B)}\\ 8 : 105\\qquad\\text{(C)}\\ 9 : 105\\qquad\\text{(D)}\\ 10 : 105\\qquad\\text{(E)}\\ 12 : 105$\n\n___\n\n**[Pascal](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "

In the diagram, ABCD is a trapezoid with AB parallel to CD and with AB = 2 and CD = 5. Also, AX is parallel to BC and BY is parallel to AD. If AX and BY intersect at Z, and AC and BY intersect at W, the ratio of the area of \\triangle AZW to the area of trapezoid ABCD is

\n
\"figure\"
\n

\\text{(A)}\\ 7 : 105\\qquad\\text{(B)}\\ 8 : 105\\qquad\\text{(C)}\\ 9 : 105\\qquad\\text{(D)}\\ 10 : 105\\qquad\\text{(E)}\\ 12 : 105

\n
\n

Pascal, by CEMC, is licensed under the CC BY-NC 3.0 DEED. They are not affiliated with or endorse TopsOJ in any way.

\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2004 Pascal Problem 25", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/04_pascal_p24"}}