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finchmeister08
Florida Fan
Member since Mar 2011
30440 posts
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Any of you follow World of Engineering on Twitter?

Kinda cool for these brain busters:

World of Engineering Twitter

A)




B)



fr33manator
LSU Fan
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The second would be B


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Glorious
Alabama Fan
Mobile
Member since Aug 2014
20415 posts

The horse was a female doctor


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260
GregMaddux
Atlanta Braves Fan
LSU Fan
Member since Jun 2011
17772 posts

First one is 288


ISEN_AG
Texas A&M Fan
ThunderWolf Manor
Member since Aug 2013
1771 posts

quote:

First one is 288


I got 101.25


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LNCHBOX
LSU Fan
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Member since Jun 2009
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First one would be a good time to remember all the sin, cos, tan relationships. It's likely pretty easy math with those. Pythagorean theorem will solve it easy enough though.

Second one is B because of the span length.

ETA: Actually not complicated at all now that I thought about it for a second One side of the gray square is the square root of 6^2 + 3^2, area of the square is that squared, so 45.
This post was edited on 7/18 at 7:40 pm


Warfarer
Auburn Fan
Dothan, AL
Member since May 2010
11692 posts

I would say the first one is 45. I don’t know the math behind the second but I would think that the downward force would be greater on the one on the outside of the block.


LegendInMyMind
Member since Apr 2019
39305 posts

The first one is 350.


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HoboDickCheese
Texas A&M Fan
The overpass
Member since Sep 2020
6101 posts

quote:

First one would be a good time to remember all the sin, cos, tan relationships. It's likely pretty easy math with those. Pythagorean theorem will solve it easy enough though


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TigerstuckinMS
LSU Fan
Member since Nov 2005
33687 posts

A is 30. B is B.

EDIT: Totally not 30. It's 45. I wronged when I should've righted.
This post was edited on 7/18 at 7:56 pm


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East Coast Band
Alabama Fan
Member since Nov 2010
57514 posts

25

B


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01
Abstract Queso Dip
Member since Mar 2021
5866 posts

First one is 36


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tigeraddict
USA Fan
Baton Rouge
Member since Mar 2007
10320 posts
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45



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poochie
LSU Fan
Houma, la
Member since Apr 2007
4811 posts
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i get 45 (44.99...) for a. visually that looks close as if you lay the tilted square flat it would be between 6 and 7 units all (3+2+1+a little due to the tilt)^2



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East Coast Band
Alabama Fan
Member since Nov 2010
57514 posts

45 is right for A. I can't do simple math.
Use the Pythagorean theorem for the side.
By looking at the 4 box and 9 box, you'll realize the triangle formed is a 1 : 2 ratio of length v. Height.
The overall height of the 3 boxes is 6 ( 3+2+1=6)
Thus the length across the bottom would be 3.

6^2 + 3^2 = 45
The length of one side of the unknown square would be square root of 45.
So, just square that and get 45 for area of the big box


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tigeraddict
USA Fan
Baton Rouge
Member since Mar 2007
10320 posts
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All the triangles formed on the left side share the same angle. Therefore all side are proportional.

Triangle formed by 4 and 9 squares is 3 on one side and 3-2 or 1 on the other side. Therefore the big triangle formed by 1, 4, 9 is 6 on one side and 2 on the other.

6^2 + 2^2 = c^2

36+4=40

40=c2 and since a square is base x height area = 40.

A = 40


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tgrfan87
LSU Fan
Oswego, IL
Member since Nov 2010
236 posts
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I was told there would be no math


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40
Olderthandirt
Member since May 2022
559 posts

The first one is 45.


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Obtuse1
Wofford Fan
Westside Bodymore Yo
Member since Sep 2016
19071 posts
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quote:

First one is 288


I always taught my kid to check geometry answers with common sense.

When checking this forget the Pythagorean theorem and just look at it.

The boxes on the right have side lengths of 1, 2, and 3 units. You know by this the hypotenuse of the right angle triangle is slightly longer than 6 units. 6x6=36 so you know the area of the square is going to fall between 36 and about 50 units sq so 288 is not the answer. I didn't bother to check where your mistake may have happened but you may have read the side lengths of the individual squares on the right and 1, 4, and 9 versus that being the area but it is also easy to see that is incorrect just by seeing the bottom square side is not 9 times the length of the top square.


Common sense verification prevents bridges from falling down.



AkronTiger
LSU Fan
Rubber City
Member since May 2021
602 posts

Used trig to do it

Make a right triangle using the three boxes. That gives you a side length of six (3+2+1).

Now make another triangle on the left side which contains the 2x2 box. The base also has to be six because of laws of congruency (right triangles sharing two identical angles and the connecting side must be congruent).

Now make a smaller triangle using the side of the 2x2 box to find the angle. You have the height (2). Length is simply 6 - 2 (whole length minus length of small box) which is 4.

Now you’ve got two sides of a right triangle. 2 and 4. Inverse tangent gets you the angle.

I’m getting the angle as 26.56505118.

Make another big triangle to calculate length of side x of the big square; you’ve got one side (6) and angle. 6/cosine theta gives you length of side.

That puts the hypotenuse, or side x of square at 6.708 and change

X^2= 45 which is your answer
This post was edited on 7/19 at 9:33 am


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