Question

Find the width and height of an older 72-inch television whose screen aspect ratio is 4:3. Remember, round your answer to one decimal place.

a. W = 246.4 inches and H = 138.6 inches
b. W = 56 inches and H = 42 inches
c. W = 138 inches and H = 246 inches
d. W = 576 inches and H = 43.2 inches

Answer 1

To find the width and height of the older 72-inch television with a 4:3 aspect ratio, we can use scale/actual ratios for length and width. Solving the proportions gives us the correct answer: W = 56 inches and H = 42 inches.

Step-by-step explanation:

To find the width and height of the older 72-inch television with a 4:3 aspect ratio, we can use the scale/actual ratios provided. Since the ratio of length to width is 4:3, we can set up the proportion:

scale/actual = 4/3

Next, we can set up another proportion using the scale/actual ratio for width:

scale/actual = 1/160

Solving these two proportions will give us the actual width and height of the television.

After solving the proportions, we find that the correct answer is option b) W = 56 inches and H = 42 inches.