The area of the garden will be 180 square feet, with a perimeter of 54 feet. when austin gets to the hardware store to purchase wood to fence in the garden, he realizes he forgot the dimensions. what are the dimensions of the garden, in feet?

For the area we have the following expression:
 A = (w) * (l)
 For the perimeter we have the following expression:
 P = 2w + 2l
 Where,
 w: width
 l: long
 Substituting the values we have:
 180 = (w) * (l)
 54 = 2w + 2l
 We observe that we have a system of two equations with two unknowns.
 Resolving we have:
 l = 15 feet
 w = 12 feet
 
 The dimensions of the garden, in feet are:
 l = 15 feet
 w = 12 feet