Question

f the perimeter of the adult pinball machine is 167 inches, what is the length, in inches of Segment line G prime A prime ? Type the numeric answer only in the box below

Answer 1

8 inches

Explanation:

The computation of the length, in inches of Segment line G prime A prime is shown below:-

Data provided

In two quadrilateral GAME and G'A'M'E',

ME = 35 inches

AM = GE = 56 inches

M'E' = 14 inches

Also, the perimeter of quadrilateral GAME = 167 inches

GA + AM + ME + GE = 167

Now we will put the values into the above equation

GA + 56 + 35 + 56 = 167

GA + 147 = 167

So,

GA = 20 inch

Therefore

GAME is closely related to G'A'M'E'

Now,

By the property of similar figures,

`(M E)/(M' E') = (GA)/(G'A')`

`G'A' = (M'E'* GA)/(ME) \\\\ = (14* 20)/(35)`

= 8 inches