SOLUTION: In the figure, rectangle ABCD is rotated 270° counterclockwise around point D to form rectangle EFGD. The perimeter of rectangle ABCD is 30 cm. How long is segment EC?

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Question 946810: In the figure, rectangle ABCD is rotated 270° counterclockwise around point D to form rectangle EFGD. The perimeter of rectangle ABCD is 30 cm.

How long is segment EC?
_____cm
http://static.k12.com/calms_media/media/1572500_1573000/1572843/1/f02a772beb034a580c602cf7e19f5f0e9fe7baff/MS_IMC-141215-110508.jpg

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

if rectangle is rotated ° counterclockwise around point to form rectangle , dimensions of the and
given
the length of and equal to ,so,

if the perimeter of rectangle is , then




=> since equal to and ,we have
and
since segment and since and , we have



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