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?
34 percent is 34/100
Set that equal to small/large
34/100=small/large, and solve for large.
Can you give us a specific problem? But let's say it was 50% bigger than the small and the small was a rectanglular box 10 X 8 X 4
Ok, then you multiply each number by .50 and add it to the numbers.
So, 10 X .50=5
8 X .50=4
4 X .50=2
Now add
10+5=15
8+4=12
4+2=6
So the bigger box sides are
15 X 12 X 6
For each small side ss and large side ls
ls = ss + ss * percent
ls = ss * (1 + percent)
To find the side lengths of the large figure from the side lengths of the small figure, you need to use the scale factor expressed as a percent.
1. Convert the percent to decimal form by dividing it by 100. For example, if the percent is 34%, you would divide 34 by 100 to get 0.34.
2. Set up the equation with the scale factor: small/large = percent/100.
For example, using the scale factor of 34% again, the equation would be:
small/large = 34/100.
3. Solve the equation for the large side length by isolating the variable for the large side.
Continuing with the example, you would have:
small/large = 34/100
Cross-multiply:
small * 100 = large * 34
Divide both sides by 34:
large = (small * 100) / 34
4. Plug in the values for the small side lengths into the formula to find the large side lengths.
Let's say the small figure is a rectangular box with side lengths of 10, 8, and 4.
Multiply each small side length by the scale factor (0.34) and add it to the small side length.
For the first side length:
10 + (10 * 0.34) = 10 + 3.4 = 13.4
For the second side length:
8 + (8 * 0.34) = 8 + 2.72 = 10.72
For the third side length:
4 + (4 * 0.34) = 4 + 1.36 = 5.36
Therefore, the side lengths of the larger figure would be 13.4, 10.72, and 5.36.