Josh is putting up a fence around a garden that is next to a wall. He only has 54 feet of fence and the length of the garden must be 6 feet more than twice the width. In the system of equations that represent the situation, let l be the length of the garden and let w be the width: 2w + l = 54 l = 2w + 6

Length = 12 feet

Width = 30 feet

Step-by-step explanation:

Let l be the length of the garden and let w be the width:

We have system of equations

2w + l = 54

l = 2w + 6

We substitute 2w + 6 for l

2w + 2w + 6 = 54

4w + 6 = 54

4w = 54 - 6

4w = 48

w = 48/4

w = 12 feet

Width(w) = 12 feet

We find the Length

l = 2w + 6

l = 2(12) + 6

l = 24 + 6

I = 30 feet

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step-by-step explanation: