pacomartin
pacomartin
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February 11th, 2013 at 1:15:05 AM permalink


This time I will show the picture first.

You are asked to carpet the rectangle. How much carpet do you need?
boymimbo
boymimbo
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February 11th, 2013 at 5:22:18 AM permalink
Oh.



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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DeMango
DeMango
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February 11th, 2013 at 5:36:21 AM permalink
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.
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Wizard
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Wizard
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February 11th, 2013 at 5:40:42 AM permalink
I hate to disagree with bm, but I have a different answer. Maybe we are interpreting the question differently.

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.
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P90
P90
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February 11th, 2013 at 5:45:21 AM permalink
This is way too easy.
R=8, therefore the short side is 5, 5^2+a^2=8^2, F=a*5=31.2
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boymimbo
boymimbo
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February 11th, 2013 at 7:05:28 AM permalink
I was trying to carpet the whole circle, not the rectangle. The two solutions that were offered are correct!!!
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DeMango
DeMango
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February 11th, 2013 at 7:19:14 AM permalink
Good to know that you can handle the truth!
When a rock is thrown into a pack of dogs, the one that yells the loudest is the one who got hit.
CrystalMath
CrystalMath
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February 11th, 2013 at 7:49:54 AM permalink
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.
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P90
P90
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February 11th, 2013 at 8:00:04 AM permalink
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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boymimbo
boymimbo
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February 11th, 2013 at 9:53:49 AM permalink
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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