Question

1. a rectangle has a perimeter of 24 inches. if the width of the rectangle is 6 inches, what is its length?

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 \(P = 24\) inches and \(w=6\) inches. Substituting into \(P = 2(l + w)\) gives \(24=2(l + 6)\).

Step3: Solve for \(l\)

First, divide both sides of the equation \(24 = 2(l + 6)\) by \(2\): \(\frac{24}{2}=\frac{2(l + 6)}{2}\), which simplifies to \(12=l + 6\). Then subtract \(6\) from both sides: \(l=12 - 6\).

Answer:

\(l = 6\) inches, so the answer is B.