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.
What is the total length, in feet, of the actual walkway?

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. 
What is the total length, in feet, of the actual walkway?

anonymous · Answer

attachment

ivettef365 · Answer

Use similar property to find the length of the smaller and then add them all

ivettef365 · Answer

Like 72/6 = x/4 
then that side is 48  side EH = 48

ivettef365 · Answer

72/6 = x/3
then side HG = 36 and side GF = 36
then add 72 + 48 + 36 + 36 = 192

anonymous · Answer

so the total length is 192?

ganeshie8 · Answer

yes, there is an easy way though

anonymous · Answer

can you explain the easy way?

ganeshie8 · Answer

yes, add all sides of ABCD walkway, and tell me what u get

ganeshie8 · Answer

perimeter of ABCD = 4+6+3+3 = ?

anonymous · Answer

16

ganeshie8 · Answer

correct !. now tell me how big is EF compared to AB

ganeshie8 · Answer

EF= 72
AB = 6

EF/AB = 72/6 = 12

EF is 12 times bigger than AB, right ?

anonymous · Answer

right

ganeshie8 · Answer

so its perimeter also will be 12 times bigger : 16 x 12 = ?

anonymous · Answer

192

ganeshie8 · Answer

right !

anonymous · Answer

cool :) thanks, it's good to know both ways.

ganeshie8 · Answer

btw EF/AB = 72/6 = 12, is called "scale factor"

ganeshie8 · Answer

good :) you're awesome :D