Answer:
a. 7.2
b. 6
Step-by-step explanation:
Since the side lengths of similar polygons are proportional to each other, therefore:
[tex] \frac{b}{10} = \frac{9}{15} = \frac{a}{12} [/tex]
Thus, let's find b using:
[tex] \frac{b}{10} = \frac{9}{15} [/tex]
Cross multiply
[tex] b*15 = 10*9 [/tex]
[tex] 15b = 90 [/tex]
Divide both sides by 15
b = 6
Let's find a using:
[tex] \frac{9}{15} = \frac{a}{12} [/tex]
Cross multiply
9*12 = 15*a
108 = 15a
Divide both sides by 15
a = 7.2
