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 12 cm * * n
9 cm * * * *
* * * *
** * * * * * * * ** * * * * * * * * *
To solve a proportion and find the length n, we need to set up a ratio between the corresponding sides of the two similar figures. In this case, we can set up the following proportion:
(12 cm / 9 cm) = (n / 15 cm)
To solve this proportion, we can cross-multiply. Multiply the numerator of the left side by the denominator of the right side and vice versa:
12 cm * 15 cm = 9 cm * n
180 cm^2 = 9 cm * n
Now, we can solve for n. Divide both sides of the equation by 9 cm:
180 cm^2 / 9 cm = n
20 cm = n
Therefore, the length of n is 20 cm.