Question

Two similar figures have a scale factor of 4/3. If one side of the smaller figure is 12, determine size of the side of the corresponding side in the larger figure.
9
16
40/3
32/3

Answer 1

This is the concept of scale factors; The length of the larger figure will be calculated as follows;
linear scale factor=[length of larger figure]/[length of smaller figure]
plugging the values in the above formula we get:
let the length of the larger figure be x;
thus;
x/12=4/3
multiplying both sides by 12 to solve for x we get:
12*x/12=4/3x12
x=16
thus the length of the larger figure is x=16