How many squares? (Dr. Pizza is the winner!)

[conjur]

Originally posted by: DrPizza
No, you have more than 36.
You have 36 1-inch squares
you also 25 2-inch squares
16 3-inch squares
9 4-inch squares
4 5-inch squares
and 1 6-inch square

For a total of 91 squares.

Tadahhhhhhhh, *I* win

Bonus points to the 'out-of-the-box' thinker

 

[Chaotic42]

I change my answer to 66.

Edit: Doh

 

[InverseOfNeo]

So what is the correct answer? I dont see how there are 36 1-inch squares as the way I see it y ou just ahve one big squre that is .25 sq. ft (3 sq. inches). Maybe its just been a long day for me and I'm slow right now

Edit: I just thoroughly read Dr. Pizza's post and I TOTALLY do not see how he came up with one 6-inch square!

 

[Viper GTS]

Originally posted by: Ferocious

Originally posted by: DrPizza
No, you have more than 36.
You have 36 1-inch squares
you also 25 2-inch squares
16 3-inch squares
9 4-inch squares
4 5-inch squares
and 1 6-inch square

For a total of 91 squares.

Tadahhhhhhhh, *I* win

BINGO!

The only correct answer in this case would be infinitely many.

Viper GTS

 

[DrPizza]

Inverse, a square foot is 144 square inches.... 12 inches on each side.
1/4 of a square foot is 6 by 6. Think of 1/4 of a tile on a kitchen floor.

btw...
.999repeated DOES EQUAL 1

 

[InverseOfNeo]

Originally posted by: DrPizza
Inverse, a square foot is 144 square inches.... 12 inches on each side.
1/4 of a square foot is 6 by 6. Think of 1/4 of a tile on a kitchen floor.

btw...
.999repeated DOES EQUAL 1

Ohhhh ok, now I got it. I was taking a 1/4 of 12 getting 3...in which case the answer would be 14, correct?

But you took a quarter of 144....which of course would be 6x6 inches...but if I saw a 6 inch square, I would think that its a half a square foot.


Its all fuzzy math.

 

[Ferocious]

The interesting thing I discovered when I came up with this problem is that you can actually solve it in about 10 seconds in your head. The 6X6 example that is.

The example I decided to post was a 6X6.....but I could have easily made it a 10X10 which would have yielded an answer of 385 squares.

Anyone see the shortcut?

 

[silverpig]

Originally posted by: InverseOfNeo

Originally posted by: DrPizza
Inverse, a square foot is 144 square inches.... 12 inches on each side.
1/4 of a square foot is 6 by 6. Think of 1/4 of a tile on a kitchen floor.

btw...
.999repeated DOES EQUAL 1

Ohhhh ok, now I got it. I was taking a 1/4 of 12 getting 3...in which case the answer would be 14, correct?

But you took a quarter of 144....which of course would be 6x6 inches...but if I saw a 6 inch square, I would think that its a half a square foot.


Its all fuzzy math.

1/2 sq ft != 1/2 ft squared
1/2 ft^2 != (1/2 ft)^2
1/2 ft^2 != 1/4 ft^2

See?

 

[silverpig]

Originally posted by: Ferocious
The interesting thing I discovered when I came up with this problem is that you can actually solve it in about 10 seconds in your head. The 6X6 example that is.

The example I decided to post was a 6X6.....but I could have easily made it a 10X10 which would have yielded an answer of 385 squares.

Anyone see the shortcut?

Let a = size of large square

#squares = Sum (i = 0..a) (a-i)^2

 

[Ferocious]

Originally posted by: silverpig

Originally posted by: Ferocious
The interesting thing I discovered when I came up with this problem is that you can actually solve it in about 10 seconds in your head. The 6X6 example that is.

The example I decided to post was a 6X6.....but I could have easily made it a 10X10 which would have yielded an answer of 385 squares.

Anyone see the shortcut?

Let a = size of large square

#squares = Sum (i = 0..a) (a-i)^2

BINGO!

 

[InverseOfNeo]

Originally posted by: silverpig

Originally posted by: InverseOfNeo

Originally posted by: DrPizza
Inverse, a square foot is 144 square inches.... 12 inches on each side.
1/4 of a square foot is 6 by 6. Think of 1/4 of a tile on a kitchen floor.

btw...
.999repeated DOES EQUAL 1

Ohhhh ok, now I got it. I was taking a 1/4 of 12 getting 3...in which case the answer would be 14, correct?

But you took a quarter of 144....which of course would be 6x6 inches...but if I saw a 6 inch square, I would think that its a half a square foot.


Its all fuzzy math.

1/2 sq ft != 1/2 ft squared
1/2 ft^2 != (1/2 ft)^2
1/2 ft^2 != 1/4 ft^2

See?

Yes

 

[silverpig]

Originally posted by: Ferocious

Originally posted by: silverpig

Originally posted by: Ferocious
The interesting thing I discovered when I came up with this problem is that you can actually solve it in about 10 seconds in your head. The 6X6 example that is.

The example I decided to post was a 6X6.....but I could have easily made it a 10X10 which would have yielded an answer of 385 squares.

Anyone see the shortcut?

Let a = size of large square

#squares = Sum (i = 0..a) (a-i)^2

BINGO!

Heh, now answer my question. It's in the new thread I started about nerds and math tricks and doing your homework faster and stuff