If the lengths of the side of a square are doubled, is the area doubled? Why or why not?
Yes it is, but why is it?
2007-01-17 04:41:11 · 4 answers · asked by Wonderious 3 in Science & Mathematics ➔ Mathematics
No, the area is not doubled. Use the formula to find out. Suppose the length of the sides of a square are x. Then the area is:
x*x = x²
But now suppose we double the length of each side, making it 2x. Now the area is:
2x*2x = 4x²
The area quadruples (because 4 is 2²).
2007-01-17 04:46:14 · answer #1 · answered by computerguy103 6 · 1⤊ 0⤋
Take a square. Add 3 more squares just like it to make a larger square. Note the following facts:
1) The larger square is 4 times bigger in area than the small square
2) The larger square has sides which are TWICE that of the small square.
How about that.
2007-01-17 04:45:26 · answer #2 · answered by Scythian1950 7 · 0⤊ 0⤋
If the length is a the area is a^2. If the length is 2a the area would be 4a^2.This four times and NOT twice
2007-01-17 07:21:22 · answer #3 · answered by santmann2002 7 · 0⤊ 0⤋
If the lengths are doubled, the area is multiplied by four.
2007-01-17 04:45:09 · answer #4 · answered by Anonymous · 0⤊ 1⤋