Answer:
15 feet
Step-by-step explanation:
It is given that Quadrilateral ABCD is similar to Quadrilateral EFGH. This means that the corresponding sides of these two quadrilateral will be in the same proportion.
i.e.
Ratio of two corresponding sides would be the same. We are given longest three sides of ABCD and shortest two sides of EFGH. Let the 4th sides of ABCD i.e. the shortest side be x.
So, the ratio of the shortest sides of two quadrilaterals would be the same as the ratio of second shortest sides.
So,
So, the 4th side on quadrilateral ABCD would be 15 feet. None of the options match with the answer.
The perimeter of the polygon will be given by:
Perimeter=distance around the figure
Thus the perimeter will be:
P=9.9+(9.9-5.9)+5.9+15.9+(15.9-4.6)+4.6
P=9.9+4+5.9+15.9+11.3+4.6
P=51.6
Answer: 51.6 units