What is ABCD?

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1 Answer
Mar 20, 2018

#57#

Explanation:

First, you should find #"oA"#, which is #"AC"/2 = 3#.

You know that #"oB"=4#.

Now you use the Pythagorean theorem which is #a^2 + b^2 = c^2#.

#3^2 + 4^2 = c^2# gives you #c="AB"="BC"=5#. That is lines #"AB"# and #"BC"# because the kite is symmetrical.

Now you should find #"AD"# by doing #3^2 + (23.3)^2 = c^2# giving you #23.5#. This is #"AD"# and #"CD"#.

Now add #23.5+23.5+5+5# which gives you a perimeter of #57#.