max is making a rectangular garden that is 5 feet less than twice its width. If the perimeter of the garden is 80 feet, what will be its dimensions?

Respuesta :

l=2w-5

2(l+w)=80
l+w=40
2w-5+w=40
3w=45
w=15 feet
l=25 feet. As a result, the width is 15 feet and length is 25 feet. Hope it help!

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