Ellis's backyard has a 6.256.256, point, 25 by 6.25\,\text{m}6.25m6, point, 25, start text, m, end text patio. She would like to build a 1.5\,\text{m}1.5m1, point, 5, start text, m, end text wide extension around 333 sides of the patio, as the figure shows. She will buy 0.250.250, point, 25 by 0.25\,\text{m}0.25m0, point, 25, start text, m, end text tiles that come 252525 to a package.

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

what i would say the best answer is a. 40.5