Answer :
To solve the problem of finding the new dimensions of the photo after scaling, we'll follow these steps:
1. Understand the Scale Factor: The original photo is being reduced by a scale factor of [tex]\(5:4\)[/tex]. This means that each dimension of the photo will be multiplied by [tex]\(\frac{4}{5}\)[/tex].
2. Calculate the New Width:
- The original width of the photo is 8 inches.
- New width = Original width [tex]\(\times\)[/tex] Scale factor = [tex]\(8 \times \frac{4}{5}\)[/tex].
- New width = [tex]\(8 \times 0.8 = 6.4\)[/tex] inches.
3. Calculate the New Height:
- The original height of the photo is 10 inches.
- New height = Original height [tex]\(\times\)[/tex] Scale factor = [tex]\(10 \times \frac{4}{5}\)[/tex].
- New height = [tex]\(10 \times 0.8 = 8\)[/tex] inches.
4. Verify the Options:
- Among the given choices, the dimensions [tex]\(6.4 \, \text{inches} \times 8 \, \text{inches}\)[/tex] match our calculated dimensions.
Therefore, the new dimensions of the photo are [tex]\(6.4 \, \text{inches} \times 8 \, \text{inches}\)[/tex].
1. Understand the Scale Factor: The original photo is being reduced by a scale factor of [tex]\(5:4\)[/tex]. This means that each dimension of the photo will be multiplied by [tex]\(\frac{4}{5}\)[/tex].
2. Calculate the New Width:
- The original width of the photo is 8 inches.
- New width = Original width [tex]\(\times\)[/tex] Scale factor = [tex]\(8 \times \frac{4}{5}\)[/tex].
- New width = [tex]\(8 \times 0.8 = 6.4\)[/tex] inches.
3. Calculate the New Height:
- The original height of the photo is 10 inches.
- New height = Original height [tex]\(\times\)[/tex] Scale factor = [tex]\(10 \times \frac{4}{5}\)[/tex].
- New height = [tex]\(10 \times 0.8 = 8\)[/tex] inches.
4. Verify the Options:
- Among the given choices, the dimensions [tex]\(6.4 \, \text{inches} \times 8 \, \text{inches}\)[/tex] match our calculated dimensions.
Therefore, the new dimensions of the photo are [tex]\(6.4 \, \text{inches} \times 8 \, \text{inches}\)[/tex].
