pacomartin
Joined: Jan 14, 2010
• Posts: 7895
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
Joined: Nov 12, 2009
• Posts: 5994
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.
----- You want the truth! You can't handle the truth!
DeMango
Joined: Feb 2, 2010
• Posts: 2665
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.
When a rock is thrown into a pack of dogs, the one that yells the loudest is the one who got hit.
Wizard
Joined: Oct 14, 2009
• Posts: 22723
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
Joined: Jan 8, 2011
• Posts: 1703
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
Joined: Nov 12, 2009
• Posts: 5994
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!!!
----- You want the truth! You can't handle the truth!
DeMango
Joined: Feb 2, 2010
• Posts: 2665
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
Joined: May 10, 2011
• Posts: 1881
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.
I heart Crystal Math.
P90
Joined: Jan 8, 2011