Who wants to do my Geometry homework??

[realityisterror]

i can't get this problem.. :D

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

[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.

[AppleMatt]

:D Legend.

AppleMatt

[realityisterror]

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.. :p

thanks again,
reality

[MacNeXT]

373,5

[noel4r]

i got 369, i grouped them by 4 triangles and 1 square got the area then added them up.

[Daveway]

:-B

I could've done this problem.

[themadchemist]

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.

[hcuar]

Pah... that's not Geometry homework... Where's your T column proofs? heh... :D Now that's Geometry homework.

[Daveman Deluxe]

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.

[Onishenko]

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.

[scem0]

Pah... that's not Geometry homework... Where's your T column proofs? heh... :D Now that's Geometry homework.

Thinking about those hurts my soul :p;).

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

scem0

[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.

Peter

[jasylonian]

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.

[Daveman Deluxe]

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.

[Ajmbc]

Pah... that's not Geometry homework... Where's your T column proofs? heh... :D Now that's Geometry homework.

Heh, Geometry is not geometry without the legendary 2 column proofs :-P

-ajmbc