Question

a graphic artist has enlarged a rectangular photograph using a scale factor of 3. the perimeter of the enlargement is 144 inches. what is the perimeter of the original photograph? original perimeter = \boxed{} inches

Explanation:

Step1: Recall scale factor and perimeter

When a figure is enlarged by a scale factor \( k \), the perimeter of the enlarged figure is \( k \) times the perimeter of the original figure. Here, the scale factor \( k = 3 \), and the perimeter of the enlargement is 144 inches. Let \( P \) be the perimeter of the original photograph. Then, the perimeter of the enlargement is \( 3P \).

Step2: Solve for original perimeter

We know that \( 3P=144 \). To find \( P \), we divide both sides of the equation by 3: \( P = \frac{144}{3} \).

Calculating \( \frac{144}{3} \), we get \( P = 48 \).

Answer:

48