High School

1. A rectangular garden has a perimeter of 120 feet. The length of the garden is 24 feet greater than twice the width. The system of linear equations [tex]2l + 2w = 120[/tex] and [tex]l = 2w + 24[/tex] represents this situation, where [tex]l[/tex] is the length of the garden and [tex]w[/tex] is the width.

Find the length and width of the garden.

Answer :

Answer:

Length: 48

Width: 12

Step-by-step explanation:

Substition

l - 2w = 24

I = 60 - w

60 - w - 2w = 24

60 - 3w = 24

-3w = -36

w = 12

Substitute it into the equation to get the length.

l = 60 - 12

l = 48

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