If the side of a square is doubled, the area is doubled.
2006-12-16 07:45:29 · 11 answers · asked by abs of steel 3 in Science & Mathematics ➔ Mathematics
Have one side be represented by the variable 's'
The original square would have an area of s^2.
Multiply the side by 2 to get 2s. The new area of the square would be 2s*2s which is 4s^2. This doesn't equal the original area doubled..
Therefore, the answer is that the statement is never true.
2006-12-16 07:51:28 · answer #1 · answered by Anonymous :) 5 · 2⤊ 0⤋
Never. If the side is doubled, the perimeter is doubled. The area increases by a factor of 4.
2006-12-16 07:54:19 · answer #2 · answered by yupchagee 7 · 0⤊ 0⤋
This is never true. The area becomes quadrupled
ex:
2 area of 4 double that its 4 with an area of 16
3 area of 9 double that its 6 with an area of 36
10 area of 100 double that its 20 with an area of 400
2006-12-16 07:52:42 · answer #3 · answered by memosgirl03 3 · 0⤊ 1⤋
never.
Since the area of a square is side^2, then the area of a square with double the sides would be (2 x side)^2, or 4 x side^2. Thus, the area would always be quadrupled.
2006-12-16 07:49:36 · answer #4 · answered by teekshi33 4 · 1⤊ 1⤋
Never.
A square whose side is the length of the diagonal of the original square will have double its area. There is a famous exchange between Socrates and a slave which demonstrates this:
http://www.cut-the-knot.org/proofs/half_sq.shtml
2006-12-16 07:58:35 · answer #5 · answered by Anonymous · 0⤊ 0⤋
always true because if it is a square then the fromila is L x W
or lenghth times width.a square is a polygon with all 4 sides the same lenghth,so it will alwya be true if the side is doubled then the area is doubled
2006-12-16 07:56:47 · answer #6 · answered by santa 2 · 0⤊ 1⤋
Never.
If a side is 1 inch, and you double it, and all sides are now 2 inches, you have quadurpled it.
If a side is 3 inches, and you double it, all sides being 6 inches, you have again quadrupled it.
Try all measurements, and see what you get.
2006-12-16 07:57:52 · answer #7 · answered by JOYCE M 3 · 0⤊ 0⤋
Never
For this to occur, you need to satisfy the equation: s^2 = 2 (s^2)
Dividing both sides by s^2, you get 2 = 1 which is impossible
2006-12-16 09:01:08 · answer #8 · answered by Renaud 3 · 0⤊ 0⤋
probably sometimes true. but i know a case where its not--have one side 5 units (area is 25) then double it to 10 ( area is 100) which is quardupled
2006-12-16 07:47:47 · answer #9 · answered by meg *__* 5 · 0⤊ 4⤋
yes thats always true, if you are talking about just one side doubling. If the side length and area is plotted it will show an exponential increase i.e. it will never stop, it will go to infinity which for course will never be reached :)
2006-12-16 07:51:21 · answer #10 · answered by Anonymous · 0⤊ 4⤋