February 11th, 2013 at 1:15:05 AM
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This time I will show the picture first.

You are asked to carpet the rectangle. How much carpet do you need?

February 11th, 2013 at 5:22:18 AM
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Oh.

Show Spoiler

This one's rather easy, since you drew a rectangle.

The 8" inch line also applies to the distance from opposite sides of the triangle and therefore the radius is 8".

pi 8" ^2 = 64" pi = 201.06 square inches. But since he'll cut it from a square piece, it's 256 square inches (16 x 16)

Edit: the answer above is wrong. I'm carpeting the whole circle, not the rectangle.

This one's rather easy, since you drew a rectangle.

The 8" inch line also applies to the distance from opposite sides of the triangle and therefore the radius is 8".

pi 8" ^2 = 64" pi = 201.06 square inches. But since he'll cut it from a square piece, it's 256 square inches (16 x 16)

Edit: the answer above is wrong. I'm carpeting the whole circle, not the rectangle.

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February 11th, 2013 at 5:36:21 AM
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What's Pi got to do with it, got to do with it? The area of the rectangle is no where near that figure, but I can't do the spoiler thing so leave it at about 15% of the last figure.

Free Mdawg!

February 11th, 2013 at 5:40:42 AM
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I hate to disagree with bm, but I have a different answer. Maybe we are interpreting the question differently.

Wiz solution

The radius of the circle is 8".

Subtracting the 3" given, the height of the rectangle is 5".

The Pythagorean Theorem says the base of the rectangle is sqrt(39).

So, the area of the rectangle is sqrt(39)*5 =~ 31.225.

Subtracting the 3" given, the height of the rectangle is 5".

The Pythagorean Theorem says the base of the rectangle is sqrt(39).

So, the area of the rectangle is sqrt(39)*5 =~ 31.225.

It's not whether you win or lose; it's whether or not you had a good bet.

February 11th, 2013 at 5:45:21 AM
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This is way too easy.

Show Spoiler

R=8, therefore the short side is 5, 5^2+a^2=8^2, F=a*5=31.2

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February 11th, 2013 at 7:05:28 AM
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I was trying to carpet the whole circle, not the rectangle. The two solutions that were offered are correct!!!

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You want the truth! You can't handle the truth!

February 11th, 2013 at 7:19:14 AM
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Good to know that you can handle the truth!

Free Mdawg!

February 11th, 2013 at 7:49:54 AM
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5*sqrt(39) square inches. By the way, I think I have the first correct answer. My kids would be counted off for not having units.

I heart Crystal Math.

February 11th, 2013 at 8:00:04 AM
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I don't believe carpet stores work at better precision than three significant digits. You might have a bit of a difficulty ordering irrational amounts of carpet.

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February 11th, 2013 at 9:53:49 AM
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Given the small area and the cost, the carpet installer would probably recommend replacing the entire carpet, so I'm going to maintain that my answer was right!!!!

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You want the truth! You can't handle the truth!

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