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. http://assets.openstudy.com/updates/attachments/4fb5807de4b05565342b5f98-bbabycakes6921-1337295128659-image0024e9d8a3f.jpg ABCD is similar to EFGH.. . What is the total length, in feet, of the actual walkway?

Answer 1

the picture in the attached figure

Step 1

Find the perimeter of the scaled-down model of a walkway (Quadrilateral ABCD)

$P=AD+DC+CB+BA\\P=3+2+2+4\\ P=11 in$

Step 2

Find the scale factor

if Quadrilateral ABCD is similar to Quadrilateral EFGH

then

$PerimeterEFGH=PerimeterABCD*scale factor$

$scale.factor=\frac{EF}{AB} \\ \\ scale.factor=\frac{60}{4} \\ \\ scale.factor=15\frac{ft}{in}$

Step 3

Find the perimeter of the actual walkway (Quadrilateral EFGH)

$PerimeterEFGH=PerimeterABCD*scale factor$

$PerimeterEFGH=11*15$

$PerimeterEFGH=165 ft$

therefore

the answer is

$165 ft$

Answer 2

Ratio of actual walkway and a model is :
60  ( Ft ) : 15 ( in)  or : 15 : 1
EF = 60 Ft,
FG = 30 Ft,
GH = 30 Ft,
HE = 45 Ft.
60 + 30 + 30 + 45 = 165 Ft
Answer: the total length of the actual walkway is 165 Ft.