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Terrell is building a fence to create a square play area for his new puppy. The perimeter of the play area will be 6060 feet.\newlineLet ℓ\ell represent the length of each side of the play area. Which equation models the problem?\newlineChoices:\newline(A) ℓ/4=60\ell/4 = 60\newline(B) 4ℓ=604\ell = 60\newlineSolve this equation to find the length of each side of the play area.\newline____\_\_\_\_ feet\newline

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Q. Terrell is building a fence to create a square play area for his new puppy. The perimeter of the play area will be 6060 feet.\newlineLet ℓ\ell represent the length of each side of the play area. Which equation models the problem?\newlineChoices:\newline(A) ℓ/4=60\ell/4 = 60\newline(B) 4ℓ=604\ell = 60\newlineSolve this equation to find the length of each side of the play area.\newline____\_\_\_\_ feet\newline
  1. Identify Equation: Identify the correct equation to model the problem. Since the perimeter of a square is given by 44 times the length of one side, the correct equation is 4ℓ=604\ell = 60.
  2. Solve for ℓ\ell: Solve the equation 4ℓ=604\ell = 60 for ℓ\ell. Divide both sides of the equation by 44 to isolate ℓ\ell. \newlineℓ=604\ell = \frac{60}{4}\newlineℓ=15\ell = 15
  3. Check Calculation: Check the calculation: 4×15=604 \times 15 = 60, which matches the given perimeter. So, the calculation is correct.

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