Question

Henry would like to enlarge a photo. The original photo has a length of 5 inches and a width of 8 inches. Henry will enlarge the photo using a scale factor of 3.(3 points)
Determine the dimensions and area of the study card.

7th Grade Math Formula Sheet

Length of the enlarged photo =
inches

Width of the enlarged photo =
inches

Area of the enlarged photo =
square inches

Answer 1

To determine the dimensions and area of the enlarged photo using a scale factor of 3, we simply multiply the original dimensions by the scale factor.

1. **Calculate the length of the enlarged photo**:
\[
\text{Length of enlarged photo} = \text{Original length} \times \text{Scale factor}
\]
\[
\text{Length of enlarged photo} = 5 \, \text{inches} \times 3 = 15 \, \text{inches}
\]

2. **Calculate the width of the enlarged photo**:
\[
\text{Width of enlarged photo} = \text{Original width} \times \text{Scale factor}
\]
\[
\text{Width of enlarged photo} = 8 \, \text{inches} \times 3 = 24 \, \text{inches}
\]

3. **Calculate the area of the enlarged photo**:
\[
\text{Area of enlarged photo} = \text{Length of enlarged photo} \times \text{Width of enlarged photo}
\]
\[
\text{Area of enlarged photo} = 15 \, \text{inches} \times 24 \, \text{inches} = 360 \, \text{square inches}
\]

So the final results are:

- Length of the enlarged photo = **15 inches**
- Width of the enlarged photo = **24 inches**
- Area of the enlarged photo = **360 square inches**