The figures are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number. The area of the smaller trapezoid is 17 m2 One side of the smaller trapezoid is 6m One side of the larger trapezoid is 22m Possible answers: A) 484 m2 B) 229 m2 C) 36 m2 D) 15 m2 Thank you for your help!

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The figures are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number. The area of the smaller trapezoid is 17 m2 One side of the smaller trapezoid is 6m One side of the larger trapezoid is 22m Possible answers: A) 484 m2 B) 229 m2 C) 36 m2 D) 15 m2 Thank you for your help!

Mathematics
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without the rest of the material for the question, there isnt much i can see to do with this...
This is all of the material I am given for the question! which is likely why I'm asking.
no pictures to indicate what side is what then? ...hmmm

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1 Attachment
the whole problem including the image is attached.
1 Attachment
see, I told you there was material missing ;) this is better
haha
i wonder if you can ration side/area with stuff.... let me see. tri: base 6, h 4, area 12 tri base 12, h 8 area 48 does 6/12 = 12/48 doesnt look like it does it....
Area = (top+bottom)h/2 17 = (top+6)h/2 34 = toph +6h 34 - toph -------- = 6 is a good start h
I wish I knew what you are doing, I am mostly ignorant of all this
6n =22 n = 22/6 = 11/3 Area = 11/3(top + 6)h/2 Area = 11(top)h/6 + 22h/2 Area = (11(top)h + 66h)/6 I wish I knew what I was doing too, but I wont tell me lol
it aint d, thats fer sure
thats a good start!
Area = (11(top) + 66)h/6 we can prolly use the two equations to calibrate for a top or height
gonna have to write it on paper; keep track of it better...
Okay, sounds like a plan!
b 229
You did it! Are you pretty confidant? I have been learning how to do these types of problems in the meantime. Thanks!
(t+6)h ------ = 17 ; h and t dont really matter as long as they scale 2 so lets say h=1 t+6 --- = 17 2 t+6 = 34 t = 28 ; thats as good of a top as any other... so lets use it and scale the rest
scale 6 = 22 scale = 11/3 (11/3)(28+6) (1)(11/3) -------------------- = A 2 308 66 11 ---- + --- * -- 3 3 3 --------------- 2 3388 + 726 ----------- 9 --------------- 2 4114 ----- = A = 228.6 18
aha!
theres prolly an easy way; but I tend to go for knuckle dragging hard lol
Haha! well thank you very much!
I just tried it out with h=3 to begine with and I get the same results in the end.... youre welcome :)
Awsome!

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