SOLUTION: Pentagons ABCDE and FGHIJ are similar. The ratio of each side of pentagon ABCDE to its corresponding side of pentagon FGHIJ is 4:1. if AB and FG are corresponding sides, and the le

Question 1200501: Pentagons ABCDE and FGHIJ are similar. The ratio of each side of pentagon ABCDE to its corresponding side of pentagon FGHIJ is 4:1. if AB and FG are corresponding sides, and the length of AB is 4x+4, what is the length of FG?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the ratio of AB to FG is 4 to 1.
you get AB / FG = 4 / 1
multiply both sides of the equation by FG to get:
AB = 4 / 1 * FG
simplify to get:
AB = 4 * FG
if the length of AB is 4x + 4, then you get:
4x + 4 = 4 * FG
divide both sides of the equation by 4 to get:
x + 1 = FG
that should be your solution.
for example, if x = 5, then 4x + 4 = 24, and x + 1 = 6.
you get AB = 24 and FG = 6
the ratio of AB to FG is 24 / 6 = 4 / 1, as given in the problem statement.

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