A foot is 0,30m and a sq ft is 0,09m. I know some will say because 0,3 times 0,3 is 0,09 but that wouldn’t explain the break of logic as I perceive it.
In: 0
It’s the concept of square you’re missing.
2 is 1/3 of 6
2 squared (2×2) = 4
6 squared (6×6) = 36
It’s the concept of square you’re missing.
2 is 1/3 of 6
2 squared (2×2) = 4
6 squared (6×6) = 36
For the same reason a square foot isn’t a third of a square yard. Math.
A yard is exactly 3 feet.
A square yard is therefore 3 feet x 3 feet = 9 square feet.
1 square foot is 1 foot x 1 foot = 1 sq ft.
1/3 of a meter times 1/3 of a meter = 1/9 of a meter. Because (1/3)^2 = 1/9
Beyond that it’s “the break of logic *as [you] perceive it*” that’s the problem. It’s a perception issue, not a logic issue.
For the same reason a square foot isn’t a third of a square yard. Math.
A yard is exactly 3 feet.
A square yard is therefore 3 feet x 3 feet = 9 square feet.
1 square foot is 1 foot x 1 foot = 1 sq ft.
1/3 of a meter times 1/3 of a meter = 1/9 of a meter. Because (1/3)^2 = 1/9
Beyond that it’s “the break of logic *as [you] perceive it*” that’s the problem. It’s a perception issue, not a logic issue.
You have a square meter. You divide it into thirds, with each third approximately 1 foot long. Those thirds aren’t squares — they’re still a meter wide.
To make them squares, you divide them into thirds in the other direction. Now you have squares. But there’s nine of them.
You have a square meter. You divide it into thirds, with each third approximately 1 foot long. Those thirds aren’t squares — they’re still a meter wide.
To make them squares, you divide them into thirds in the other direction. Now you have squares. But there’s nine of them.
A square that is 3’ on a side is 3’ x 3’ = 9 square feet. 1 square foot is 1/9th of 9 square feet.
A square that is 3’ on a side is 3’ x 3’ = 9 square feet. 1 square foot is 1/9th of 9 square feet.
To visualize it:
The red square is a square foot (so around 30cm by 30cm), and the larger set of green squares is a square meter (~ 1m by 1m)
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You can see that the red square is just one ninth the size of the larger green square.
To visualize it:
The red square is a square foot (so around 30cm by 30cm), and the larger set of green squares is a square meter (~ 1m by 1m)
🟩🟩🟩
🟩🟩🟩
🟩🟩🟥
You can see that the red square is just one ninth the size of the larger green square.
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