Question

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 21 +2w = 120 and 1-2w = 24
represents this situation, where I is the
length of the garden and wis the width. Find
the length and width of the garden.

Answer 1

Length: 48

Width: 12

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