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 Jan 6, 2005, 02:34 PM #1 realityisterror macrumors 65816     Join Date: Aug 2003 Location: Snellville, GA Who wants to do my Geometry homework?? i can't get this problem.. using this diagram, find the area of pentagon BNREC... http://bellsouthpwp.net/a/r/arminv/storage/homework.gif i can get the area of triangle BEC easily... i just can't get the BNRE part because of that little bend in there... also, the drawing isn't quite to scale, but none of the sides touch a point unless they are obviously on it... thanks, reality __________________ 0
 Jan 6, 2005, 02:42 PM #2 wordmunger macrumors 603     Join Date: Sep 2003 Location: North Carolina I think I got it. You can easily get the area of the rectangle abnz, where z is an imaginary new point on line segment be. z is exactly 3 units above f. the area of triangle bnz is 1/2 area abnz. Now imagine a point x on segment vr, which forms square zfrx. It's easy to find the area of triangle xrn, so your job is done. __________________ ResearchBlogging.org Science-Based Running 0
 Jan 6, 2005, 03:01 PM #3 AppleMatt macrumors 68000     Join Date: Mar 2003 Location: UK Legend. AppleMatt __________________ Avatar by edesignuk. 0
Jan 6, 2005, 03:19 PM   #4
realityisterror
macrumors 65816

Join Date: Aug 2003
Location: Snellville, GA
Quote:
 Originally Posted by wordmunger I think I got it. You can easily get the area of the rectangle abnz, where z is an imaginary new point on line segment be. z is exactly 3 units above f. the area of triangle bnz is 1/2 area abnz. Now imagine a point x on segment vr, which forms square zfrx. It's easy to find the area of triangle xrn, so your job is done.
only on MR people... only on MR...

you are a god wordmunger... i didn't really care if i missed one question... if was just driving me crazy..

thanks again,
reality
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 Jan 6, 2005, 04:03 PM #5 MacNeXT macrumors 6502   Join Date: Jun 2004 373,5 __________________ Oh, and by the way, Micro\$oft suxorz!!! 0
 Jan 6, 2005, 05:56 PM #6 noel4r macrumors 6502a   Join Date: Jul 2002 Location: Los Angeles i got 369, i grouped them by 4 triangles and 1 square got the area then added them up. 0
 Jan 6, 2005, 06:06 PM #7 Daveway macrumors 68040     Join Date: Jul 2004 Location: New Orleans / Lafayette, La :-B I could've done this problem. __________________ Spare me my life. 0
 Jan 6, 2005, 06:46 PM #8 themadchemist macrumors 68030     Join Date: Jan 2003 Location: Chi Town The way I see you doing it is getting the area of everything outside of the desired area (besides the bec part, which you already have). That stuff is simple enough to figure out because of the lengths given on the side. When you subtract it all, you are left with the area of the weird shape for which you're looking. Of course, wm beat us all to the punch. __________________ Sometimes, things get worse before they get better. Sometimes, they get better before they get worse. Almost never do they stay the same. 0
 Jan 6, 2005, 08:53 PM #9 hcuar macrumors 65816     Join Date: Jul 2004 Location: Dallas Pah... that's not Geometry homework... Where's your T column proofs? heh... Now that's Geometry homework. __________________ iMac 27" i5 Mid 2011 | 1TB HD | 16GB RAM iPhone 4 32 Gig 0
 Jan 6, 2005, 09:11 PM #10 Daveman Deluxe macrumors 68000     Join Date: Jun 2003 Location: Corvallis, Oregon I think I have an even easier way (that is, one that doesn't require the creation of new points). Take the area of triangle bce, which is 162 units square. Then you place he same imaginary point z (I guess it does take one imaginary point) and then find the area of triangle bnz, which is 121.5 units squared. Then find the area of trapezoid nrfz, which is 22.5 square units, then find the area of triangle rfe, which is 4.5 units square. The total area is 310.5. That said, I agree with hcuar. Edit: I just realized that themadchemist's solution is even more elegant than mine is. 0
Jan 6, 2005, 09:52 PM   #11
Onishenko
macrumors newbie

Join Date: Nov 2004
Quote:
 Originally Posted by noel4r i got 369, i grouped them by 4 triangles and 1 square got the area then added them up.
Agreed. I did it differently, using some of the method that wordmunger used. But came to the same conclusion.

369. On the money.

Edit: Agreed with post above. Madchemist's method is alot simpler. Wish I saw that. Probably spent hours in 8th grade meditating over these types of questions when I could have used this simpler method.

Last edited by Onishenko; Jan 6, 2005 at 09:55 PM.
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Jan 6, 2005, 11:29 PM   #12
scem0
macrumors 604

Join Date: Jul 2002
Location: back in NYC!
Quote:
 Originally Posted by hcuar Pah... that's not Geometry homework... Where's your T column proofs? heh... Now that's Geometry homework.
Thinking about those hurts my soul .

Geometry is something I want to leave far, far behind. Algebra II was a bunch of fun, though .

scem0
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 Jan 7, 2005, 01:50 AM #13 oldpismo macrumors member   Join Date: Aug 2003 Location: UK same method different answers I used the same method as wordmunger, and came up with 373.5, as did MacNext We seem to be getting alot of different answers to a relatively simple question. Peter __________________ 20" G5 iMac, late 2008 2.4GHz MacBook 0
Jan 7, 2005, 02:56 AM   #14
jasylonian
macrumors regular

Join Date: Sep 2003
Location: sacramento
Quote:
 Originally Posted by oldpismo I used the same method as wordmunger, and came up with 373.5, as did MacNext We seem to be getting alot of different answers to a relatively simple question.
373.5 looks right to me. 162+162+36+9+4.5.
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Jan 7, 2005, 08:45 PM   #15
Daveman Deluxe
macrumors 68000

Join Date: Jun 2003
Location: Corvallis, Oregon
Quote:
 Originally Posted by oldpismo I used the same method as wordmunger, and came up with 373.5, as did MacNext We seem to be getting alot of different answers to a relatively simple question.
Well, I realized after seeing this that I did my arithmetic wrong. It is 373.5 units square.

Good thing I check my own tests, I suppose.
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Jan 8, 2005, 01:38 AM   #16
Ajmbc
macrumors regular

Join Date: Jan 2003
Location: Louisiana
Quote:
 Originally Posted by hcuar Pah... that's not Geometry homework... Where's your T column proofs? heh... Now that's Geometry homework.
Heh, Geometry is not geometry without the legendary 2 column proofs :-P

-ajmbc
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