The length of a rectangle is 6 yards longer than its width and
if the perimeter of the rectangle is 72 yards, find its length and width.

Let...

length=x+6

width=x

x+x+x+6+x+6=72

4x+12=72

4x=60

x=15

x+6=21

length=21 and width=15

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.