Pentagon ABCDE and RSTUV are similar. The sides of ABCDE are

[foozeball]

Pentagon ABCDE and RSTUV are similar. The sides of ABCDE are 24, 40, 56, 24, and 48. The perimeter of RSTUV is 240. What are the lengths of the other sides?

I hope to hear from someone soon. Thank you for your time!

 

[arthur ohlsten]

let L=24 the smallest length
40=40/24 L
56 is replaced with 56/24 L
48 = 48/24 L
then the sum of the 5 sides =L+ 40/24 L + 56/24 L +24/24 L + 48/24 L
sum of the 5 sides=240

then 240= L[1+10/6 +14/6 +1 +2]
240=L[4+ 24/6]
240=L[8
L=30

24,50,70,30,60 answer as to sides length
Arthur