a photo is being enlarge to 2.5 times the original dimension, what is the area of the ratio to to original. gina

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Enlarging a Photo and Calculating the Area Ratio**

A photo is being enlarged to 2.5 times the original dimension. What is the area of the ratio to the original?

### Explanation:
To determine the area ratio when a photo's dimensions are increased by a factor, we must square the scale factor because the area is a two-dimensional measurement (length and width).

### Calculation:
1. **Scale Factor:** 2.5 times
2. **Area Ratio:** (Scale Factor)² = (2.5)² = 6.25

Therefore, when a photo is enlarged to 2.5 times its original dimension, the area of the enlarged photo is 6.25 times the area of the original photo.
Transcribed Image Text:**Enlarging a Photo and Calculating the Area Ratio** A photo is being enlarged to 2.5 times the original dimension. What is the area of the ratio to the original? ### Explanation: To determine the area ratio when a photo's dimensions are increased by a factor, we must square the scale factor because the area is a two-dimensional measurement (length and width). ### Calculation: 1. **Scale Factor:** 2.5 times 2. **Area Ratio:** (Scale Factor)² = (2.5)² = 6.25 Therefore, when a photo is enlarged to 2.5 times its original dimension, the area of the enlarged photo is 6.25 times the area of the original photo.
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