A television with a 5:4 screen shows an image with a ratio of 20:12 which creates a letter boxed image. What percent of the screen's area is occupied by the image?
Answer: d. 75% of the screen is occupied by the image
Explanation:
First we have to find a relation between image area and screen area.
Image area is the product of image dimensions.
Screen area is the product of screen dimensions.
We have to divide the major image dimension between the major screen dimension
Major image dim/Major screen dim = 20/5 = 4
Now we have to multiply this relation by the minor screen dimension
Minor screen dim x 4 = 4 x 4 = 16
Then we have found 5/4 = 20/16
Now we can calculate what percent of the screen area is occupied by the image area.
Major image dim x minor image dim/Major screen dim x minor screen dim
Since major image dim = major screen dim, we have:
Minor image dim/Minor screen dim = 12/16 = 0.75 = 75% of the screen
Answer: d. 75% of the screen is occupied by the image
