Question

sara has a rectangular patio. the width of the patio is 12 feet. the perimeter of the patio is 56 feet. what is the length of saras patio? 12 feet 14 feet 16 feet 18 feet

Explanation:

Step1: Recall the formula for the perimeter of a rectangle

The formula for the perimeter \(P\) of a rectangle is \(P = 2(l + w)\), where \(l\) is the length and \(w\) is the width.

Step2: Substitute the known values into the formula

We know that \(P = 56\) feet and \(w = 12\) feet. So, \(56=2(l + 12)\).

Step3: Solve for \(l\)

First, divide both sides of the equation by 2: \(\frac{56}{2}=l + 12\), which simplifies to \(28=l + 12\).
Then, subtract 12 from both sides: \(l=28 - 12\).

Answer:

\(16\) feet (the third option)