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

Answer:

8 inches

Step-by-step 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,

$\frac{M E}{M' E'} = \frac{GA}{G'A'}$

$G'A' = \frac{M'E'\times GA}{ME} \\\\ = \frac{14\times 20}{35}$

= 8 inches