Atoy company manufactures arcade games. they are marketing a new pinball machine to children. it is similar in size to the adult version of the same game.
both the adult and child models are shown below: adult pinball machine game with base me measuring 35 inches and sides measuring 56 inches. child pinball machine g prime a prime m prime e prime with base m prime e prime measuring 14 inches
if the perimeter of the adult pinball machine is 167 inches, what is the length, in inches of segment line g prime a prime?

8 inches

Step-by-step explanation:

Here, GAME and G'A'M'E' are two quadrilaterals,

In which, EM = 35 inches, GE=AM = 56 inches, E'M' = 14 inches,

And, Perimeter of GAME = 167 square inches.

⇒ AG = 167 - ( GE + EM + MA) = 167 - (56+35+56) = 167 - 147 = 20 inches

According to the question,

Quadrilaterals GAME and G'A'M'E' are similar,

⇒

⇒

⇒  

⇒

⇒

Thus, the length of line segment G'A' = 8 inches.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet