School and Work

A region G is formed from a 1 × 1 square by
removing a r × r square from one corner. (Here 0 < r < 1.)
• What is the largest square that fits entirely inside G ?
Justify your answer.
(The obvious choice is to fit a square of side (1 – r) into G.
But could some tilted square possibly have larger area? Explain.

NOTES: I know that the biggest square is (1-r)(1-r). However, how do you calculate the area of the tilted square?

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Note that "index 4vx^2" = x^(2/4) = x^(½). "index 4vx^6" follows that scenario.

(x^(2/4) - x^(6/4))/x
==> (x^(½) - x^(3/2))/x

Finally, by an/a^b = a^(n - b)..

x^(½ - 1) - x^(3/2 - 1)
==> x^(½ - 2/2) - x^(3/2 - 2/2)
==> x^(-½) - x^(½)
==> 1/x^(½) - x^(½)
==> (1/vx) - vx

I hope this helps!

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Sorry, I could not read the content fromt this page.

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Okay, so it's like this, this is the way I think of it. I moved to North Carolina in 1998 when I was 2 from New York. In a certain town where we lived when we first moved down, we had friends down there. They are cool and stuff, don't use much of the modern technology and their old school and all. But the town I'm in now is like all modern and people are different than the people in this down called Denton NC.

It's like, our friends from Denton for example live more like the old times, like 90's.
The people in my area are different. I don't know if it's just the areas' or what, help me out ? XD i feel like an idiot for aasking this.

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Sorry, I could not read the content fromt this page.

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