# 2005 Alabama ARML TST Problems/Problem 11

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

## Problem

In concave hexagon $ABCDEF$, $\angle A = \angle B = \angle C = 90^\circ$, $\angle D = 100^\circ$, and $\angle F = 80^\circ$. Also, $CD=FA$, $AB=7$, $BC=9$, and $EF+DE=12$. Compute the area of the hexagon.
{"ft_lang_label":"__label__en","ft_lang_prob":0.8458807,"math_prob":0.99982375,"size":412,"snap":"2022-05-2022-21","text_gpt3_token_len":111,"char_repetition_ratio":0.16421568,"word_repetition_ratio":0.75609756,"special_character_ratio":0.28640777,"punctuation_ratio":0.26804122,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.9999285,"pos_list":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16],"im_url_duplicate_count":[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-05-27T15:26:05Z\",\"WARC-Record-ID\":\"<urn:uuid:ebe66843-6c2f-4228-85d9-55e208e2322a>\",\"Content-Length\":\"35348\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:f4912c27-0b28-4125-8b33-750ec6789161>\",\"WARC-Concurrent-To\":\"<urn:uuid:6677bfff-88bf-4ecf-b70a-09468aeeca78>\",\"WARC-IP-Address\":\"172.67.69.208\",\"WARC-Target-URI\":\"https://artofproblemsolving.com/wiki/index.php?title=2005_Alabama_ARML_TST_Problems/Problem_11&direction=prev&oldid=23873\",\"WARC-Payload-Digest\":\"sha1:TCDRFMR6MRJY2NHX7ZF2QTB67R2FUPOR\",\"WARC-Block-Digest\":\"sha1:UAA2YN2I5DPX5H5H4ICBIZA7WI5KBDWL\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-21/CC-MAIN-2022-21_segments_1652662658761.95_warc_CC-MAIN-20220527142854-20220527172854-00135.warc.gz\"}"}