What is the length of line segment G' A'? PLEASE HELP!!!!!
Accepted Solution
A:
I believe the perimeter of the adult pinball machine is given as 172 in^2. First, for the adult machine, we have: GE = AM = 56 inch EM = 35 inch perimeter = 172 inch Therefore: GA = 172 - (56+56+35) = 172 - 147 = 25 inch
Now, the children version is a scaled down version of the adult version. This means that the sides of the version are proportional to their corresponding sides in the child version, therefore: EM/E'M' = GA/G'A' = GE/G'E' = AM/A'M' We have: EM = 35 in E'M' = 14 in GA = 25 in G'A' is the one we need to find
Substitute with the givens in the proportionality expression above to get G'A' as follows: EM/E'M' = GA/G'A' 35/14 = 25/G'A' 35 G'A' = 25*14 G'A' = (25*14) / 35 G'A' = 10 inch