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Friday Puzzler -- Rectangle size

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Friday Puzzler -- Rectangle size

#1

Friday Puzzler -- Rectangle size

Alex Y

In the picture below, he circles have diameters of 6, 4, and 3. What are the dimensions of the rectangle?


Re: Friday Puzzler -- Rectangle size

#2

Re: Friday Puzzler -- Rectangle size

John Veerkamp

for us old folks, an insect repellant popular in the 50's.

Re: Friday Puzzler -- Rectangle size

#3

Trip down memory lane!

Alex Y

That tested my memory!

Approximately correct.

Assuming you have the exact answer and were just rounding, we will call this one solved.

Anyone want to post the solution and exact answer?

Re: Friday Puzzler -- Rectangle size

#4

Re: Trip down memory lane!

Larry Barrett

Ethylhexanediol, according to Wikipedia. Discontinued in 1991 due to some evidence of causing developmental defects in animals. I was sprayed with it a lot when young. Maybe that is ...

I got the long side as

1.5+sqrt(3.5^2-2.5^2)+sqrt(5^2-1)+3=1.5+2.5+4.9+3=11.9.

Re: Friday Puzzler -- Rectangle size

#5

Correct!

Alex Y

But as John correctly pointed out, 6-12 is much better branding than 6-11.9 ;-)

Your formula gives the exact result. Pythagoras to the rescue!

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