The following tile floor pattern is made of 36 square tiles. A 4 by 9 rectangle is shown containing 36 square tiles. The long dimension is labeled 42.75 inches.

Which is the side length, in inches, of one tile?

A.
1.25

B.
4.25

C.
4.75

D.
10.75

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

ratio is 2 : 9

the answer is three

13.5 : 3