Question

the perimeter of a rectangular goat pen is 68 meters. it is 14 meters wide. how long is it? meters

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 given values into the formula

We know that \(P = 68\) meters and \(w=14\) meters. So, \(68 = 2(l + 14)\).

Step3: Solve for \(l\)

First, divide both sides of the equation by \(2\): \(\frac{68}{2}=l + 14\), which simplifies to \(34=l + 14\).
Then, subtract \(14\) from both sides: \(l=34 - 14\).

Answer:

\(20\)