If the scale factor from a small figure to a large figure is given as a percent, how can you find the side lengths of the large figure from the side lengths of the small figure?
PLEASE HELP ME!!!
PLEASE HELP!!!!! THIS IS SOOOOO CONFUSING AND MY TEACHER NEVER REALLY EXPLAINED IT TO ME.
PLEASE HELP!!!!! THIS IS SOOOOO CONFUSING AND MY TEACHER NEVER REALLY EXPLAINED IT TO ME.
First change the % into decimal form.
If the large figure is 10% larger, it is 0.10 larger.
So, small side length plus 0.10x small side length would = large side length.
To find the side lengths of the large figure from the side lengths of the small figure, you need to follow these steps:
1. Convert the given scale factor from a percent to a decimal. Divide the percent value by 100. For example, if the scale factor is given as 10%, divide 10 by 100 to get 0.10.
2. Multiply the side lengths of the small figure by the decimal scale factor. This calculation will give you the amount by which the side lengths increase in the large figure.
3. Add the result from step 2 to the side lengths of the small figure to get the side lengths of the large figure.
Let's say the side length of the small figure is "s" and the scale factor is 10%. Using the steps above:
1. Convert the 10% scale factor to a decimal: 10 ÷ 100 = 0.10.
2. Multiply the side length of the small figure by the decimal scale factor: 0.10 × s = 0.10s.
3. Add the result from step 2 to the side length of the small figure: s + 0.10s = 1.10s.
Therefore, the side length of the large figure is 1.10 times the side length of the small figure.
Remember, these steps are applicable for a scale factor given as a percent. If the scale factor is given as a fraction or ratio, the process may be different.