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Prof. Templeton
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Professor Templeton had a new window installed in his sitting room. One day he returned from the university to find a note taped to the window. The note was from his wife and said the following:

Dear,

I love the new window, however at some times of the day the sun light can be too much, so I’d like you to tint a section of the window. I was thinking about tinting a solid square portion of the window that is three feet high and three feet wide and leaves half the window un-tinted.

Love,

F.

The Prof. gets a tape and measures the window to be three foot by three foot. Can he fulfill the request and not have to replace the window with a larger one?

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The window is three-dimensional? It could extend out from the room like a bay window, but with the side panels perpendicular to the center section and wall.

This way, you could tint the center section (3x3), and leave the two side sections (1.5x3) untinted. The whole window would still be 3 foot by three foot (in one way of thinking, at least).

In this picture, the blue sections are untinted, the brown section is tinted.post-4284-1220992618_thumbjpg

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The window is three-dimensional? It could extend out from the room like a bay window, but with the side panels perpendicular to the center section and wall.

This way, you could tint the center section (3x3), and leave the two side sections (1.5x3) untinted. The whole window would still be 3 foot by three foot (in one way of thinking, at least).

In this picture, the blue sections are untinted, the brown section is tinted.post-4284-1220992618_thumbjpg

Nope. It's just a regular window. But way to think outside the box (window). :)

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I have changed the OP slightly to clear my answer.

the window is 3 x 3 = 9 sq ft. so make a square of 4.5 sq ft.

as

.........portion of the window that(window) is three feet high and three feet wide ......

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Professor Templeton had a new window installed in his sitting room. One day he returned from the university to find a note taped to the window. The note was from his wife and said the following:

Dear,

I love the new window, however at some times of the day the sun light can be too much, so I'd like you to tint a section of the window. I was thinking about tinting a solid square portion of the window that is three feet high and three feet wide and leaves half the window un-tinted.

Love,

F.

The Prof. gets a tape and measures the window to be three foot by three foot. Can he fulfill the request and not have to replace the window with a larger one?

Um, maybe it's because I play too much baseball, but

diamonds...

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Make the square on it's side. I'd do a diagram, but I'm lazy. The tinted section's diagonals will be 3 feet.

obviously this guy is right.

good job! I was thinking of a square on its side, too, but it never occured to me that the diagonals can be used as the height and the length.

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MaestroOD and d3k3 have the answer I was thinking of. A diamond is still a square and it would be 3 feet across and 3 feet high and take up half the window area. GJ.

Here's a picture

post-9402-1221002134_thumbjpg

Sorry, but I have to disagree. That would make the inside square 2.12 X 2.12. :huh:

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post-7838-1221056473_thumbjpg

CAD Drawing. :)

It's a trick of the wording. 3 feet high and 3 feet wide does not mean 3 feet on each side, therefore, though the diamond is 3 feet high (centre) and three feet wide, and a perfect square, it is only covering half of the window.

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It's a trick of the wording. 3 feet high and 3 feet wide does not mean 3 feet on each side, therefore, though the diamond is 3 feet high (centre) and three feet wide, and a perfect square, it is only covering half of the window.

Yup, I figured it out. :D Silly engineer in me had a problem thinking outside (inside?) the box this morning.

I think the wife will love it! :wub:

Edited by Alyanna
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