DU mathmeticians, I (who should have paid more attention in Geometry)

[ScreamingMeemie]

need your help.

I have an lot that I need to figure out the area of and I suck at doing whatever the hell shape this is.

It measures as follows:

56.02 x 204.77 x125.24 x238.91 x220

The radius is: 60

Arc:201.84

chord: 48.46

Delta: 192 degrees 44'30"

Oh please, oh please someone tell me that they can figure out the area in square feet with this info. I would love you forever and sing your praises here on a weekly basis.

:hi:

[Hugin]

1. Well, the top numbers make sense for a trapezoid...

But, what the heck are the last four numbers all about?

[ScreamingMeemie]

2. I have no idea.

I just listed the numbers off the plat map. That's how much I suck.

[Hugin]

6. Start here...

http://www.1728.com/quadtrap.htm

Give someone an answer and they are happy for the moment, Give someone a link and they're
happy for a lifetime. -- Prag.

[ScreamingMeemie]

10. No time.

I'll have to call MrG at work. I'm 3 hours late with this already for checking out links, and this is my last resort before bugging him on the job.

Thanks.

[billyskank]

3. Gordon bennet

:crazy:

[Jimbo S]

4. I thought a trapezoid has four sides?

56.02 x 204.77 x125.24 x238.91 x220

I see five sides here.

Or am I missing something?

[ScreamingMeemie]

5. It has five sides...so then I have no freaking idea what shape it is...

I just need to get this appraisal report in and I'm hung up on this.

[billyskank]

7. It's a pentagon

;)

[ScreamingMeemie]

9. Even if it's lopsided?

:shrug:

Did I mention that my Trigonometry teacher, who was also my Geometry teacher, called me up to his desk on the first day of class and asked me to drop it? He had the slip written out and everything. :(

[billyskank]

11. It's an irregular pentagon

Pentagon just means five sides. A regular pentagon has five sides of equal length.

Not everyone needs to be good at maths. :hug:

[ScreamingMeemie]

12. Thank you billy...I've been googling this all morning...and I'm ready

to cry. :hug:

[billyskank]

16. I know it's not what you want to hear

but your problem is not a trivial one. It is solveable, but without knowing the angles of some of the corners it comes down to a problem of several simultaneous equations. That means a whole lot of algebra.

I'm sorry. :(

[jus_the_facts]

8. Sorry MrsG...I'm a math'tard....

....good to see ya back though!!! :hi: :hug: :loveya:

[deucemagnet]

13. I'm no mathemetician, but I think you have to bisect that into triangles,

and use trigonometry to find the area of each triangle. Are the measurements of the sides in any particular order?

[Hugin]

15. Yeah, it's kind of hard to do an area calculation without seeing it...

True. True.

[tk2kewl]

14. Can you post a sketch?

:shrug:

[ScreamingMeemie]

17. It is lot no.10 on this plat map

http://www.cis.state.mi.us/platmaps/dt_image.asp?BCC_SUBINDEX=57396

[tk2kewl]

35. Rabrrr is off by a couple of thousand sq ft

42755.24 sq ft

I looked at the plat and digitized the lot using GIS software.

[Rabrrrrrr]

39. You're right - I am off.

I did a stupid mistake in my calculations that I'm so embarrassed about I'm not even talk about it.

:grr:

Crap - yours is the accurate one.

[tk2kewl]

42. no problem

I didn't need to do much thinking. i just let the computer do it.

[davsand]

50. Gawd, I do LOVE the GIS guys!

I had to laugh when I saw your post because my first response was "Call the GIS Dept!" To be fair, however, I've been doing a bunch of rural work with an irregular water feature as property lines, so I am not having a whole lot of fun unless I lean on the map dudes an awful lot.

All I can say is that in this Laura's perfect world, ALL parcels will be perfect rectangles. NO funny shaped lots will be allowed!

And, Laura, I almost failed Geometry too. HOW did we end up doing what we do? What a world!



The Other Laura

[trof]

47. Gonna have to divide it up into triangles and rectangles.

And you'll need a few more measurements.
Can't do it from what's provided.
Basically, you divide it into right triangles and rectangles where possible.
Kinda complicated to get into without the plat in front of me and some measuring tools.
There is no 'one' formula.

[Rabrrrrrr]

18. Close enough for shits and giggles: 39,191 sq. ft.

+/- a few tenths of a square foot, and that's only if the pentagon forms an actual plane.

[ScreamingMeemie]

19. Thank you Rabrrrrrr!

:*:* :hug: :hug: :*:*

You're the best and I'll keep my promise and mention you weekly!

:bounce:

The homeowner said it was a little under 1 acre and that sum fits...and USPAP allows me to +/- it. :hi:

[merh]

22. Rabrrrrrr AGAIN

How come Rabrrrrr is always the hero that sweeps in at the last minute to save the day? :freak:

Could he be a super hero in disquise?

You sing his praises as it is, I was looking forward to a new champion to oogle and celebrate x(

Guess I'm stuck with Rabrrrrr and Beckham. :silly:


Rabrrrrrrrrrrrrrrrrrrawks :yourock:





:hi: MrsG :hug:

.

[ScreamingMeemie]

23. As does merrrrrrh!

:yourock: :loveya:

This was killing me all morning. I've been working on it since 4:30AM.

[merh]

28. awww pishaw

go do the math that the wonderfully brillant Rabrrrrrrr has provided.

I'm just here for kicks and grins, if I can help you, my weary, sleep deprived and frustrated friend smile just a bit, then my job is done.

Off to spread joy & laughter!! *UpUP&heeeheeehhheeee*



I hope you take a nap, you know what frustration & lack of sleep does for ya :pals: :loveya:

[Rabrrrrrr]

29. It's really a simple problem - a pentagon, regular or irregular, becomes three triangles

Then all one needs to do is find the area of the three triangles.

It's all very simple math.

[ScreamingMeemie]

31. For you, maybe. For those of us mathematically challenged....

Give me a 10 page written assignment on the history of the French Revolution any day. :hi:

[merh]

43. France had a revolution?

:crazy:

Damn, how did I graduate college?

:shrug:

[merh]

38. thank you for the explanation

I'm mathematically challenged and numbers do cruel things in my head, they switch places and never go where they are supposed to. Alas, I never have been able to overcome my numeric disability -

just imagine my employer's expressions when I give him phone numbers that I took down, transposing the numbers in my head. :silly:

I admire anyone who can deal with numbers and calculations. :hi:

[Rabrrrrrr]

24. My guess on the area to subtract is about 200 sq. ft. cuz of the arc

Plus or minus potentially another 50 sq. ft. - sorry, I can't be very accurate on that one.

[ScreamingMeemie]

25. For what I'm doing it doesn't have to be spot on. It is for comparison

purposes only. I am comparing this lot with others in the area.

Luckily, I am just a lowly appraiser and disclose in the report that that is what I am and they leave me alone. But, I had to put an area there...and if it's way off then I've got some explaining to do value wise.

[Rabrrrrrr]

32. Yeah, that's about 9/10 of an acre.

In engineering, that's what we call "close enough".

[ScreamingMeemie]

34. 43,560 was drilled into my brain for the licensing test.

I don't think I'll ever forget it, but ask me next year. :D

[Rabrrrrrr]

21. I see now why a radius was given - you have a curved section

Subtract that square footage from what I gave you, and that's your total.

[Jimbo S]

40. I calculate the curved section to 233.42

Just being anal. Good guess Grrrrr.

[ScreamingMeemie]

41. You guys are the reason I love DU so much.

I am now able to get on with my day. :toast:

[Jimbo S]

20. Divide into three areas?

Area 1: trapezoid of 238.91 x 125.24
Area 2: 204.77 extended to meet 220
Area 3: subtract area of circle that 204.77 line extended to meet 220 line.

Just a thought.

[ScreamingMeemie]

26. Thank you Jimbo.

:hi:

[Jimbo S]

33. Possibly an easier solution

Don't mean to have you go around in circles here.

Do you know the angle of the 125' line to the 238' line?

If Point "P1" is the intersection of the 204' line to the arc
and the same with the 220' line...do you know the distance between the two points.

If you can get me this, I can figure it out for you.

This may be easier than the idea I had in the previous post.

[ScreamingMeemie]

36. It is this right here...

http://www.cis.state.mi.us/platmaps/dt_image.asp?BCC_SUBINDEX=57396

Lot #10

[Jimbo S]

37. Rabrrrr beat me to it while I was caluclating

Good job, dude!

:jealousy:

[Little Wing]

27. hmmm

[ScreamingMeemie]

30. Pretty much, but the wonderful Rabrrrrrr has helped me out of a jam.

:hi:

[flvegan]

44. About that 80' easement along the back of the property...

Do those folks own it (ingress and egress only) or does it belong to the county?

[ScreamingMeemie]

45. It belongs to the county but is located below grade...

i.e. it's a drainage ditch.

No worries fl, I'm a real estate appraiser (going on 7 years in the biz) and now what I'm doing and how to disclose on the report.

In this case, it doesn't affect value but sometimes it does. Disclosure is key in all real estate appraisals (assuming due dilligence) even when it doesn't affect value. I usually place a comment, no apparent adverse easements or encroachments. On this one I go a bit beyond, include a plat map and voila. I'm pretty good at what I do. :hi:

[flvegan]

46. I know you are, and I'm certainly

never, ever, ever going to question your qualifications. Hell, no. I don't know diddly about appraisal. However, if it's owned by the county, then the lot measurements are off, as far as your total acreage. Aren't they?

Sorry...it's Friday, 7pm here. I've had all the title I can stand for the week.

[ScreamingMeemie]

48. Hehehe...Sorry, I didn't mean to come off that way...

I've been wrangling with a "coworker" (we all work from home yet he thinks he's my boss somehow...and thinks he's smarter than me even though it took him 8 tries to my 1 to pass the licensing exam...I'm digressing, eh?)

From the appraisal standpoint, they are not considered off, and the size of this lot has been determined and reported as an estimate. In most cases, easements (including berms and sidewalks in subdivisions) are considered part of the lot even though they are technically owned by the city. The funny thing is (and this irritates me no end) they own it, we have to pay for sidewalk replacement. :grr:

Anyway, again, I am sorry that I appeared to be miffed by that. I went back and reread it and it seems that way to me too. Not enough coffee I suppose.



:hug: :loveya:

[flvegan]

49. No biggie, MrsGrumpy

I didn't read "miffed" into it. Here in Florida, fee simple is just that. The owner owns it outright. An easement can exist, but it's ingress/egress. That was my only concern in the figures, as I found that odd. Laws differ.

I took no offense at all. Okay...I'm taking some right now, considering that sidewalks are considered part of the Lot. That's just...wrong.