Question

Delisa is designing a website that will be viewable on all devices. she has a picture 15 centimeters wide on a computer. The diagonal of Delisa's computer monitor is 21 inches and Delisa's tablet is 9.9 inches. how wide is the image on the tablet?

Delisa is designing a website that will be viewable on both computers and mobile devices, so the website as it is seen on a mobile device is proportional to the website as it is seen on a computer. The diagonal of Delisa's computer monitor is 21 inches, and the diagonal of Delisa's tablet is 9.9 inches.

If an image is 15 centimeters wide on the website when it's displayed on Delisa's computer, how wide should the image be on the tablet? Round to the nearest tenth of a millimeter, if necessary.

Answer 1

`7.7` centimeters wide on the tablet (to the nearest tenth of a centimeter

Explanation:

The ratio of tablet display length to computer display length is `("tablet")/("computer")=(9.9)/(21)` (the actual units do not matter as long as they are the same).

If the display is `15` centimeters wide on the computer:
`("tablet image width")/(15" centimeters")=9.9/21`

`rArr "tablet image width"= (9.9xx15)/21" centimeters"~~7.71..." centimeters"`

Answer 2

`color(blue)(7.07cm)`

Explanation:

Since we are scaling the original image, we can look at the triangles formed by the width and diagonal of the monitors. These triangles a similar. By the properties of similar triangles:

`|21|/|15|=|9.9|/|X|`

`|X|=((9.9)(15))/21=7.071428571cm`

`7.071428571cm=70.71428571mm`

`70.7mm` To the nearest tenth.

`7.07cm`