Q:

Quadrilateral ABCD in the future below represents a scaled-down model of a walkway around a historic site. Quadrilateral EFGH represents the actual walkway. ABCD is similar to EFGH.

Accepted Solution

A:
I believe this is the question: "Quadrilateral ABCD in the figure below represents a scaled-down model of a walkway around a historic site. Quadrilateral EFGH represents the actual walkway. ABCD is similar to EFGH. Two irregular similar quadrilaterals ABCD and EFGH are drawn. AB measures 5 inches, BC measures 4 inches, CD measures 4 inches and AD measures 3 inches. EF measures 45 feet. What is the total length, in feet, of the actual walkway?"
We should determine the ratio(proportionality) of the two similar quadrilaterals.  Since AB corresponds to EF, AB=5, EF=45, we know that the side lengths of EFGH is 45/5=9 times those of ABCD. The perimeter of ABCD=5+4+4+3=16 feet, so the perimeter of EFGH, the actual pathway, is 16*9=144 feet.