The two figures are similar, solve a proportion to find the length n.
Express the result as either a whole number or use decimal digits only
if necessary.
*
* * 15 cm
9 cm * *
* *
* * * * * * *
*
* *
12 cm * * n
* *
* *
* * * * * * * * * *
To solve for the length "n," we can set up a proportion using the similar figures. The corresponding sides of similar figures are in proportion to each other.
Looking at the figures, we can set up the following proportion:
9 cm / 15 cm = 12 cm / n
To solve this proportion, we can cross-multiply:
9 cm * n = 15 cm * 12 cm
Now, we can solve for "n" by dividing both sides of the equation by 9 cm:
n = (15 cm * 12 cm) / 9 cm
Simplifying, we get:
n = 180 cm / 9 cm
Dividing, we find that:
n = 20 cm
Therefore, the length "n" is 20 cm.