Question

#3 TV Aspect RatioUsing your knowledge of aspect ratios, find the difference between the actualscreen size or area of an older style TV with an aspect ratio of 4:3 and a newer TVwith an aspect ratio of 16:9. Assume that both TV's are 52 inches in height. Whatis the difference in the areas of the two TV's? (show all work and justify youranswer) (8 points)

Answer 1

3:4 ratio

height: 52 in

width: height * 4/3 = 52*4/3 = 208/3 in

Area of the TV: height*width = 52*208/3 = 3605 1/3 square inches

9:16 ratio

height: 52 in

width: height * 16/9 = 52*16/9 = 832/9 in

Area of the TV: height*width = 52*832/9 = 4807 1/9 square inches

Then, the difference in the areas is: 4807 1/9 - 3605 1/3 = 1201 7/9 square inches