Question

The screen of an eReader has a length of 8 inches and a width of 6 inches.Can the page content from an atlas that measures 19 inches by 12 inches be replicated on the eReader?If not,propose a solution to move the atlas content into the eReader format.

Answer 1

The page content from an atlas cannot be replicated on the eReader as the dimensions of the atlas page are larger than the eReader screen. To move the atlas content into the eReader format, a scaling factor needs to be used.

Step-by-step explanation:

To determine whether the page content from an atlas can be replicated on the eReader, we need to compare the dimensions of the eReader screen and the atlas page. The eReader has a length of 8 inches and a width of 6 inches, while the atlas page has a length of 19 inches and a width of 12 inches. Since the dimensions of the atlas page are larger than the eReader screen, the entire content of the atlas page cannot be replicated on the eReader without scaling it down.

To move the atlas content into the eReader format, we can use a scaling factor. Let's assume the scaling factor is x. To find x, we can set up the following equations:

1. Length of the eReader screen: 8 inches = x * Length of the atlas page: 19 inches
2. Width of the eReader screen: 6 inches = x * Width of the atlas page: 12 inches

We can solve these equations to find the value of x, which represents the factor by which the atlas content needs to be scaled down to fit the eReader screen.

Answer 2

Answer: No, the page content of the atlas cannot be replicated on the eReader.

Please check explanations below for solution to question (b)

Step-by-step explanation: The dimensions of the eReader screen is given as 8 inches by 6 inches. In order to move a rectangular shape such as the atlas onto it would require the same measurements or, a measurement that has the same ratio as both the length and width of the screen, but a reduced size.

This brings us to similar shapes. When two shapes (rectangles in this case) are similar, it simply means there is a common ratio between the corresponding sides, that is the length and the width. If rectangle 1 has its side measuring 8 inches, then rectangle 2 would have the corresponding side having a common ratio with that of rectangle 1. This means the corresponding side in rectangle 2 can either be an enlargement (which would mean 8 times a scale of enlargement) or a reduction (which means 8 divided by a scale of reduction).

In the question given, the eReader screen has dimensions of 8 inches by 6 inches. The atlas has dimensions given as 19 inches by 12 inches. By observation we can see that the width of the atlas is times 2 of the screen. The length of the atlas however is not times 2 of the screen. That is;

Ratio = Rectangle 1 : Rectangle 2

Ratio of Width = 6 : 12

Ratio of Width = 1 : 2

Likewise

Ratio of Length = 8 : 19

Ratio of Length ≠ 1: 2

This proves that the atlas cannot be scaled down to fit properly into the screen. A solution to make this possible would be to resize the length of the atlas to become times 2 of the eReader screen. This would result in the atlas having new dimensions given as

Length = 16 inches

Width = 12 inches

This would ensure that both rectangular shapes are similar and the atlas can now be scaled down by a factor of 2 to fit in properly into the eReader screen.