Answer:
Length = 25 feet and width = 15 feet
Step-by-step explanation:
MAx is making a rectangular garden that is 5 feet less than twice its width
LEt w be the width of the garden.
Length is 5 feet less than twice its width
So length of the garden = [tex]2w-5[/tex]
Perimeter of the garden is 80 feet
Perimeter of rectangle = [tex]2(length ) + 2(width)[/tex]
[tex]80=2(2w-5) + 2(w)[/tex], solve for w
[tex]80=4w-10 + 2(w)[/tex]
[tex]80=6w-10[/tex]
Add 10 on both sides
[tex]90=6w[/tex], divide both sides by 6
w=15
[tex]L=2w-5=2(15)-5= 30-5=25[/tex]
So Length = 25 feet and width = 15 feet