Answer:
x = 3.76 ft
Step-by-step explanation:
To find the missing side, "x", solve using proportions.
In similar polygons, the 'new' polygon was created by multiplying every side of the 'old' polygon by the same number. Every side was multiply by the scale factor, "k", which tells you how much a polygon grew (k>1) or shrunk (0<k<1).
Therefore, if you divided the pairs of corresponding sides, they would be equal.
From the diagram, you can tell that the following sides correspond:
CB ~ GF
AB ~ EF
Use the proportion
[tex]\frac{EF}{AB} = \frac{GF}{CB}[/tex]
[tex]\frac{x}{6ft} = \frac{3.3ft}{5ft}[/tex] Substitute values from diagram
[tex]6ft*\frac{x}{6ft} = 6ft*\frac{3.3ft}{5ft}[/tex] Multiply both sides by 6 ft
[tex]x = \frac{6ft*3.3ft}{5ft}[/tex] "x" is isolated. Multiply fraction by combining into numerator
[tex]x = \frac{19.8ft}{5ft}[/tex] Solved numerator. Divide for decimal answer.
[tex]x = 3.76ft[/tex]
The value of 'x' is 3.76 ft.
