Carpet Area Problem #2
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?
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.
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!
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.
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.
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.
"For with much wisdom comes much sorrow." -- Ecclesiastes 1:18 (NIV)
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
Resist ANFO Boston PRISM Stormfront IRA Freedom CIA Obama
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!
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.
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.
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.
Resist ANFO Boston PRISM Stormfront IRA Freedom CIA Obama
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!!!!
-----
You want the truth! You can't handle the truth!
February 11th, 2013 at 2:54:27 PM
permalink
The important thing is rectangle where the NW diagonal is 8" means the NE diagonal (radius) is the same length. Hence the height is 5" (being 8" - 3"). By Pythagoras the width of the rectangle is SQRT(8*8-5*5) = SQRT (64-25) = SQRT(39). So the area is 5 * SQRT(39).
February 12th, 2013 at 2:58:20 AM
permalink
couldn't grasp the essential thing so flunked completely.
With the Wizard evidently slowly recuperating at home, we sure are getting a bunch of puzzles all of a sudden. Perhaps Pacomartin knew that Michael would pounce on it, and started it off.
With the Wizard evidently slowly recuperating at home, we sure are getting a bunch of puzzles all of a sudden. Perhaps Pacomartin knew that Michael would pounce on it, and started it off.
the next time Dame Fortune toys with your heart, your soul and your wallet, raise your glass and praise her thus: “Thanks for nothing, you cold-hearted, evil, damnable, nefarious, low-life, malicious monster from Hell!” She is, after all, stone deaf. ... Arnold Snyder
February 12th, 2013 at 5:54:57 AM
permalink
Quote: P90This is way too easy.
It is possible that this forum is too sophisticated for this problem (which appeared on a MENSA test). I have seen people take 20 minutes to figure it out when the question was reduced to "find the diameter of the circle".
I suggest you try it on some friends who are not as mathematically intuitive.
