In the figure, E is the midpoint of side CB of rectangle ABCD and x=45. AB is 3 cm, what is the area of rectangle ABCD, in square cm
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OpenStudy (anonymous):
which figure?
OpenStudy (anonymous):
you can take a picture of the rectangle from your book and attach it as a file here
OpenStudy (anonymous):
uploading it now
OpenStudy (anonymous):
Okay, AB is 3 cm, And x or DE is 45 cm.
OpenStudy (anonymous):
so if AB is 3 cm, what is the length of DC?
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OpenStudy (anonymous):
are you thinking about it?
OpenStudy (anonymous):
dc is 3
OpenStudy (anonymous):
and i don't think de is 45 cm
OpenStudy (anonymous):
In the figure above, E is the midpoint of side CB of rectangle ABCD, and ∠x = 45°. If AB is 3 centimeters, what is the area of rectangle ABCD, in square centimeters?
OpenStudy (anonymous):
I see
x is the angle ade
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OpenStudy (anonymous):
right
OpenStudy (anonymous):
okay, angle ADE is 45, what is the angle CDE?
OpenStudy (anonymous):
i think DC IS 3 and CE is also 3
OpenStudy (anonymous):
45-45-90 triangle
OpenStudy (anonymous):
okay good. I hope you got that
tan 45 = CE/DC
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OpenStudy (anonymous):
alright. So if CE is 3 cm and E is the midpoint of CB, what is the length of CB?
OpenStudy (anonymous):
6
OpenStudy (anonymous):
great! so what is the area of the rectangle?
OpenStudy (anonymous):
18
OpenStudy (anonymous):
yes, you should say 18 sq.cm though, because length and breadth are in cms.
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