Question

kayla is installing a rectangular play area in her backyard so her new puppy can run around. after installing 42 feet of fence for the play area, she still has 12 feet of fence left to install. let p represent the perimeter of the play area. which equation models the problem?\\( p - 42 = 12 \\)\\( 12 + p = 42 \\)solve this equation to find the perimeter of the play area.\\( \square \\) feet\\( \text{submit} \\)

Explanation:

Step1: Identify correct equation

The total perimeter $p$ minus the installed 42 feet equals the remaining 12 feet, so $p - 42 = 12$.

Step2: Solve for $p$

Add 42 to both sides:
$p - 42 + 42 = 12 + 42$
$p = 54$

Answer:

Correct equation: $p - 42 = 12$; Perimeter: 54 feet