the sides of my rectangle are in a ratio 1:3. my rectangle is scaled up by a factor of 4. what is the length of my new rectangle, shown below?
the new length is 4 times the old length.
To find the length of the new rectangle, you need to know the length of the original rectangle. Since the sides of your original rectangle are in a ratio of 1:3, let's assume that the shorter side has a length of 'x'. Therefore, the longer side would have a length of '3x'.
To calculate the length of the new rectangle after it is scaled up by a factor of 4, you need to multiply the original length by 4.
New length = 4 * original length
Since the original length of your rectangle is '3x', the new length would be:
New length = 4 * 3x
Simplifying the expression:
New length = 12x
Hence, the length of your new rectangle, which is shown below, is 12 times the length of the original rectangle.