Question

the perimeter of a picture frame is 28 inches. if the width of the picture frame is 6 inches, what is the length of the picture frame?

Explanation:

Step1: Recall the perimeter formula for a rectangle

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

Step2: Substitute the known values into the formula

We know that \( P = 28 \) inches and \( w = 6 \) inches. Substituting these into the formula, we get \( 28 = 2\times (l + 6) \).

Step3: Solve for \( l \)

First, divide both sides of the equation by 2: \( \frac{28}{2} = l + 6 \), which simplifies to \( 14 = l + 6 \). Then, subtract 6 from both sides: \( l = 14 - 6 \).

Answer:

The length of the picture frame is 8 inches.