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?

Algebra ->  Linear-equations -> 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?       Log On


   

Question 945450: 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 Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
EF=GD=9
So then,
FG%2BED%2B18=30
FG%2BED=12
Since FG=ED,then
FG=ED=6
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.
.
EC=ED%2BCD
EC=6%2B9
EC=15cm