Question

To find the width of the original image, we can start by understanding the resizing factor by comparing the dimensions of the thumbnail to the original image.

Identify the length dimensions:

Original length of the image = 800 pixels
Length of the thumbnail = 160 pixels
Calculate the resizing factor:



This means that the thumbnail is

of the size of the original image for the length.

Apply the same factor to find the width of the original image:

The width of the thumbnail is given as 120 pixels.
Since the thumbnail is a scaled version of the original image, its width also follows the same resizing factor:

dumb this down

Answer 1

Sure! Let's break it down step by step in simpler terms:

1. **Original Image Size**:
- The original image has a length of 800 pixels.

2. **Thumbnail Size**:
- The length of the thumbnail (the smaller image) is 160 pixels.

3. **Resizing Factor**:
- To figure out how much the thumbnail is smaller than the original, we compare their lengths.
- To do this, we divide the length of the thumbnail by the length of the original image:
\[
\text{Resizing factor} = \frac{\text{Thumbnail length}}{\text{Original length}} = \frac{160}{800} = \frac{1}{5}
\]
- This means the thumbnail is 1/5 the size of the original image in terms of length.

4. **Width of the Thumbnail**:
- The width of the thumbnail is given as 120 pixels.

5. **Finding the Original Width**:
- Since the thumbnail is scaled down by the same factor for width, we can find the original width by multiplying the thumbnail width by the same factor:
\[
\text{Original Width} = \text{Thumbnail Width} \times 5 = 120 \times 5 = 600 \text{ pixels}
\]

So, the original image width is 600 pixels.