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OpenStudy (anonymous):

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

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?

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

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

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.

OpenStudy (anonymous):

thank you very much

OpenStudy (anonymous):

you are welcome.

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