Answer:
The length of the rectangle is 25 km
Step-by-step explanation:
Let
x ----> the length of rectangle
y ----> the width of rectangle
we know that
The perimeter of rectangle is
[tex]P=2(x+y)[/tex]
we have
[tex]P=68\ km[/tex]
so
[tex]68=2(x+y)[/tex]
simplify
[tex]34=(x+y)[/tex]---- > equation A
[tex]x=3y-2[/tex] ---> equation B
substitute equation B in equation A and solve for y
[tex]34=(3y-2)+y[/tex]
[tex]34=4y-2[/tex]
[tex]4y=34+2[/tex]
[tex]4y=36[/tex]
[tex]y=9\ km[/tex]
Find the value of x
[tex]x=3(9)-2=25\ km[/tex]
therefore
The length of the rectangle is 25 km
