Answer:
[tex]x = 20[/tex]
Step-by-step explanation:
Given
First Polygon:
[tex]Top = 12[/tex]
[tex]Bottom =5[/tex]
Second Polygon
[tex]Top = 48[/tex]
[tex]Bottom =x[/tex]
Required
Find x
Since both polygons are similar, then:
[tex]Ratio = Top:Bottom[/tex]
For the first:
[tex]Ratio = 12:5[/tex]
For the second
[tex]Ratio = 48:x[/tex]
Equate both ratios
[tex]12:5 = 48:x[/tex]
Express as fraction
[tex]\frac{12}{5} = \frac{48}{x}[/tex]
Cross Multiply
[tex]12 * x = 48 * 5[/tex]
Solve for x
[tex]x = \frac{48 * 5}{12}[/tex]
[tex]x = \frac{240}{12}[/tex]
[tex]x = 20[/tex]
