Refer to the figure shown below.
Quadrilaterals ABCD and EFGH are similar.
The shortest side (the 4th side) of quadrilateral ABCD is AD = x.
The three longest sides are
AB = 24, BC = 16 and CD = 12 feet.
The corresponding shortest sides of quadrilateral EFGH are
EH = 9, and GH = 18 feet.
Because the two quadrilaterals are similar, therefore
[tex] \frac{AB}{EF}= \frac{AD}{EH} \\ \\ \frac{x}{9} = \frac{12}{18} \\ \\ x= \frac{9 \times 12}{18} =6[/tex]
Answer: The length of the 4th side of quad ABCD is 6 feet.
