Question

i can solve problems involving similar shap21. the photo below is being enlarged to form a 24 by 30 - inch print. what scale factor will be used to enlarge it? (there is a diagram of a photo with height 4 in and width 5 in, and some handwritten notes: new / original, and a fraction 24/30)

Explanation:

Step1: Identify original and new dimensions

Original height: \( 4 \) in, New height: \( 24 \) in.
Original width: \( 5 \) in, New width: \( 30 \) in.

Step2: Calculate scale factor (height)

Scale factor \( = \frac{\text{New height}}{\text{Original height}} = \frac{24}{4} = 6 \).

Step3: Verify with width

Scale factor \( = \frac{\text{New width}}{\text{Original width}} = \frac{30}{5} = 6 \).

Answer:

The scale factor is \( 6 \).