The perimeter of a rectangular sports court is 162 feet. after a game, a players coach that the athlete has run a total of 564 feet which is equivalent to eight times the court length plus five times it’s width what are the dimensions of the sports court?

Lenght:

Width:

Step-by-step explanation:

The perimeter of a rectangle can be calculated with:

Where "l" is the lenght and "w" is the width.

Set up a system of equations:

Using the Elimination Method, multiply the first equation by -4, add  the equations and then solve for "w":

Substitute the value of "w" into any original equation of the system and solve for "l":

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

hi! i think the answer is 1/2 : )