(https://clockcrew.net/talk/proxy.php?request=http%3A%2F%2Fbay01.imagebay.com%2F_upload%2Fimg%2F63%2Fmath.png&hash=21567ca2c33ca02c0d666219c0cf5d464f625e27)
How do I figure out the area of this?
63
You don't
63
63
Well, I need proof of how it's done too.
you build an exact replica.
fill it with water
measure how much water you put in
profit.
The answer is clearly 63
use the formula you were taught in school
Turn the tilted corners to Triangles and calculate the area for the whole square then remove the triangles
If ya wanna high-falutin' all complicated way, then do this.
Turn the quadrilateral into two triangles, We'll call 'em ABC and ADC.
First to find the area of ABC, use the area rule (1/2)ABsinC,
(1/2)(31)(68.2)sin(79) = 1037.67 m^2
To find the area of ADC, use the cosine rule to find AC, which is
c^2 = (31)^2 + (68.2)^2 - 2(31)(68.2)cos(79), which has AC turn out to be roughly 69.3382237
Then find the angle CAD using the sin rule
12.4/sinCAD = 69.3/sin94, where CAD becomes 10.28 degrees.
Then find angle ACD by 180--94-10.28 = 75.72 degrees.
Then using the sine rule again, find AD
AD\sin75.72 = 69.3/sin94 = 67.322
Then using the area formula again
(1/2)(67.322)(12.4)(sin94) = 416.379
Then add the areas
1037.67 + 416.37 = 1454.04 m2
That's how i solved it.
Quote from: Wind-up Clock;1431295If ya wanna high-falutin' all complicated way, then do this.
Turn the quadrilateral into two triangles, We'll call 'em ABC and ADC.
First to find the area of ABC, use the area rule (1/2)ABsinC,
(1/2)(31)(68.2)sin(79) = 1037.67 m^2
To find the area of ADC, use the cosine rule to find AC, which is
c^2 = (31)^2 + (68.2)^2 - 2(31)(68.2)cos(79), which has AC turn out to be roughly 69.3382237
Then find the angle CAD using the sin rule
12.4/sinCAD = 69.3/sin94, where CAD becomes 10.28 degrees.
Then find angle ACD by 180--94-10.28 = 75.72 degrees.
Then using the sine rule again, find AD
AD\sin75.72 = 69.3/sin94 = 67.322
Then using the area formula again
(1/2)(67.322)(12.4)(sin94) = 416.379
Then add the areas
1037.67 + 416.37 = 1454.04 m2
That's how i solved it.
There is a real flaw with your math in that the work does not result in 63.
If ya wanna high-falutin' all complicated way, then do this.
Turn the quadrilateral into two triangles, We'll call 'em ABC and ADC.
First to find the area of ABC, use the area rule (1/2)ABsinC,
(1/2)(31)(68.2)sin(79) = 1037.67 m^2
To find the area of ADC, use the cosine rule to find AC, which is
c^2 = (31)^2 + (68.2)^2 - 2(31)(68.2)cos(79), which has AC turn out to be roughly 69.3382237
Then find the angle CAD using the sin rule
12.4/sinCAD = 69.3/sin94, where CAD becomes 10.28 degrees.
Then find angle ACD by 180--94-10.28 = 75.72 degrees.
Then using the sine rule again, find AD
AD\sin75.72 = 69.3/sin94 = 67.322
Then using the area formula again
(1/2)(67.322)(12.4)(sin94) = 416.379
Then add the areas
1037.67 + 416.37 = 1454.04 m2
That's how i solved it.
Quote from: GreyClock;1431303If ya wanna high-falutin' all complicated way, then do this.
Turn the quadrilateral into two triangles, We'll call 'em ABC and ADC.
First to find the area of ABC, use the area rule (1/2)ABsinC,
(1/2)(31)(68.2)sin(79) = 1037.67 m^2
To find the area of ADC, use the cosine rule to find AC, which is
c^2 = (31)^2 + (68.2)^2 - 2(31)(68.2)cos(79), which has AC turn out to be roughly 69.3382237
Then find the angle CAD using the sin rule
12.4/sinCAD = 69.3/sin94, where CAD becomes 10.28 degrees.
Then find angle ACD by 180--94-10.28 = 75.72 degrees.
Then using the sine rule again, find AD
AD\sin75.72 = 69.3/sin94 = 67.322
Then using the area formula again
(1/2)(67.322)(12.4)(sin94) = 416.379
Then add the areas
1037.67 + 416.37 = 1454.04 m2
That's how i solved it.
The math checks out. I say this is correct.
Well played Greyclock :golfclap:
Quote from: SouvlakiClock;1431280use the formula you were taught in school
Woah man, why didn't I think of that?!
Quote from: GreyClock;1431303If ya wanna high-falutin' all complicated way, then do this.
Turn the quadrilateral into two triangles, We'll call 'em ABC and ADC.
First to find the area of ABC, use the area rule (1/2)ABsinC,
(1/2)(31)(68.2)sin(79) = 1037.67 m^2
To find the area of ADC, use the cosine rule to find AC, which is
c^2 = (31)^2 + (68.2)^2 - 2(31)(68.2)cos(79), which has AC turn out to be roughly 69.3382237
Then find the angle CAD using the sin rule
12.4/sinCAD = 69.3/sin94, where CAD becomes 10.28 degrees.
Then find angle ACD by 180--94-10.28 = 75.72 degrees.
Then using the sine rule again, find AD
AD\sin75.72 = 69.3/sin94 = 67.322
Then using the area formula again
(1/2)(67.322)(12.4)(sin94) = 416.379
Then add the areas
1037.67 + 416.37 = 1454.04 m2
That's how i solved it.
Damn, man! Thanks. :D
Man I only did this stuff a year ago and I've already forgotten how to do it.
Thank god I'm going into Biology, not a lot of trig or calc there.
I had a test on this, and i didn't study for it.
Thank god these equations were on the formula sheet.
Rape someone
Quote from: Franklin G. Hamilton;1431353look at awht i did
[flash]http://72.20.18.21/clam/math.swf width=550 height=400[/flash]
63