please help with geometry - dilation
posted by Knights .
When a square of area 4 is dilated by a scale factor of k, we obtain a square of area 9. Find the sum of all possible values of k.
I do not understand...it is not 3/2, as I was told, but I don't understand why? Help?
A square with an area of 4 has to have all sides equal to 2. Right?
If I increase by a factor of k that means multiply 2 times k
My area is 2k times 2k = 4k^2
I would set this equal to 9
I am getting 3/2 for the value of k
-3/2 is another possibility, but we have to discount it because we don't measure distance as negative numbers.
I agree with your 3/2, but I wonder if someone else summed -3/2 and 3/2 = 0
thanks a lot i appreciate your time