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re: Could your wife or girlfriend solve this?
Posted on 2/14/25 at 2:26 pm to Shexter
Posted on 2/14/25 at 2:26 pm to Shexter
quote:
Now this one *does* require assumptions. We know that the green area is square, but we can't be sure that the large "square" is square. If we assume that it is square, though, we still can't be sure that the blue triangles (it's 4 blue triangle which overlap each other) all share the dimensions of the one that we know. So we have to assume that too, so they are all 3-4-5 triangles of the same size.
Anyway, taking those two assumptions, here is one way to figure the area of the green square:
The area of the large square (50x50=2500) minus 4 times the area of a blue triangle (30*40/2=600 * 4 = 2400), but then we have to add back 4 times the overlapped area. Those are also 3-4-5 triangles, and the hypotenuse has length 20 (40+30-50) so the other two legs measure 12 and 16. The area of one is then 12*16/2=96, times 4 is 384, added back to the 100 we are left with from earlier (2500-2400), and we get an area of 484 square units.
3
Posted on 2/14/25 at 2:34 pm to anc
The point of learning such things in school is to develop basic thinking skills to learn how to learn. Then when you get grown you are more likely to be able to learn whatever you want.
Everybody being grounded in basics allows everyone to be able to communicate better.
An adult who graduated high school should be able to eyeball that inside of a minute. It is a simple proportion cloaked as a geometry problem.
After you get grown you can easily survive never exercising either, for awhile anyway, but you are better off doing something.
Everybody being grounded in basics allows everyone to be able to communicate better.
An adult who graduated high school should be able to eyeball that inside of a minute. It is a simple proportion cloaked as a geometry problem.
After you get grown you can easily survive never exercising either, for awhile anyway, but you are better off doing something.
Posted on 2/14/25 at 2:44 pm to anc
x/5 = 20/x
x^2 = 100
x = 10
Area of triangle = 10 x 10 = 100
Btw, I'm a plant operator, not an engineer.
x^2 = 100
x = 10
Area of triangle = 10 x 10 = 100
Btw, I'm a plant operator, not an engineer.
This post was edited on 2/14/25 at 2:47 pm
Posted on 2/14/25 at 2:51 pm to Ingeniero
Why not simply
x/5 = 20/x
x^2 = 100
x/5 = 20/x
x^2 = 100
Posted on 2/14/25 at 2:51 pm to anc
I got 5 x 5. The only lengths we know are the bottom right triangle so the sides of the square are all 5. I don’t get 100
Posted on 2/14/25 at 2:54 pm to RohanGonzales
quote:
The point of learning such things in school is to develop basic thinking skills to learn how to learn. Then when you get grown you are more likely to be able to learn whatever you want.
quote:
An adult who graduated high school should be able to eyeball that inside of a minute. It is a simple proportion cloaked as a geometry problem.
But you still couldn't change a flat tire. How many people will ever use that in their life vs. having to change a tire on a vehicle ? So knowing geometry isn't worth a crap to the vast majority of people.
Posted on 2/14/25 at 2:55 pm to anc
Maybe try
A= 2.5b + b^2 + 10b
=b^2 * 12.5b
Then solve from there.
Yea nevermind lol. This does have me wanting to pull a math book out.
A= 2.5b + b^2 + 10b
=b^2 * 12.5b
Then solve from there.
Yea nevermind lol. This does have me wanting to pull a math book out.
Posted on 2/14/25 at 3:00 pm to castorinho
quote:
Pretty easy.
Took 3 pages for someone to get to the simplest solution of the problem (aside from the actual area answer of 100) with a whole lot of "not possible" in between
Never change, TD
This post was edited on 2/14/25 at 3:08 pm
Posted on 2/14/25 at 3:01 pm to Synoptic
I was just showing the equation for solving for the length of the side of the square which is the same for two sides in each triangle. Then squaring X gives you the area.
The triangles are proportional since they share common sides which are parallel to each other (sides are part of a square) thus the angles are also common.
I see now someone else solved it first on Page 3.
The triangles are proportional since they share common sides which are parallel to each other (sides are part of a square) thus the angles are also common.
I see now someone else solved it first on Page 3.
This post was edited on 2/14/25 at 3:03 pm
Posted on 2/14/25 at 3:02 pm to dj30
Second one
X/20 = 50/40
X= 1000/40 = 25
25 x 25 = 625
First one
20/X = X/5
X squared = 100
X = 10
Area = 100
X/20 = 50/40
X= 1000/40 = 25
25 x 25 = 625
First one
20/X = X/5
X squared = 100
X = 10
Area = 100
Posted on 2/14/25 at 3:10 pm to collegefootballisbroken
Does it still count if I just round up to 50 and double then double the delta from 50 to 48?
That’s how I math
That’s how I math
Posted on 2/14/25 at 3:13 pm to anc
Thank God my Career was in Marketing
Posted on 2/14/25 at 3:15 pm to jcaz
quote:
Does it still count if I just round up to 50 and double then double the delta from 50 to 48? That’s how I math
Been awhile since we’ve done a thread like “show how you answer 27+65 in your head”
It always amazes me how differently people do simple arithmetic
Posted on 2/14/25 at 3:36 pm to anc
Notice OP didn’t put an answer in the post.
Posted on 2/14/25 at 3:54 pm to Mingo Was His NameO
quote:The OP is silly. But the answer is derived via similar triangle proportionality.
I generally know that a square is the same on all sides so both sides of what missing are the same. You’d also use the Pythagorean theorem to solve it, but I don’t know that my answer would be right.
Total height = x + 20
Total base= x + 5
where "x" is the side length of the square and x2 or (x)(x) is the area of the square
Using
subdivisional triangle’s base leg ÷ large triangle’s corresponding base leg = subdivisional triangle’s vertical leg ÷ large triangle’s vertical leg
x ÷ (5 + x) = 20 ÷ (20 + x)
Crossmultiplying
x(20 + x) = 20(5 + x)
20x + x2 = 100 + 20x
x2 = 100
and FWIW
a2 + b2 = c2
(15)(15) + (30)(30) = c2
1125 = c2
33.54 ~ c
Posted on 2/14/25 at 3:54 pm to Obtuse1
No need for the Pythagorean theorem. These are similar triangles.
So
20/x = x/5
Cross multiply.
20*5 = x^2
x^2 = 100, the are of the square
So
20/x = x/5
Cross multiply.
20*5 = x^2
x^2 = 100, the are of the square
Posted on 2/14/25 at 3:59 pm to InCaliForNow
Guys it’s page 7
We get it now
We get it now
Posted on 2/14/25 at 4:05 pm to anc
What does a wife a girlfriend have to do with it? Some of you baws seem really insecure about your manhood
Posted on 2/14/25 at 4:59 pm to anc
quote:Whoop-whoop
Could your wife or girlfriend solve this?
Just got the answer from a s.o. ...
The answer is, "It depends on who's asking the question"
after reading the OP, she shook her head, whipped out a calculator, and said,
"the answer is about 3.14 cubic inches" ....
when I didn't get it, she said ....
"it's the area of a 4" L x 1" Dia .. uhm .. 'cylinder' "
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