Question

in the 1950s, people wanted to go to movie theaters, so they changed the size of the movies to make them more appealing than television. wide - screen films have an aspect ratio of 16:9. todays high - definition televisions also have an aspect ratio of 16:9. draw a tape diagram to figure out the other dimension for each television described below. for problems 1 - 3, the aspect ratio is 4:3. 1. the height is 18 inches. width: 24 2. the height is 27 inches. width:

Explanation:

Step1: Recall aspect - ratio formula

The aspect - ratio of a rectangle is the ratio of its width to its height, i.e., $aspect\ ratio=\frac{width}{height}$.

Step2: Calculate aspect - ratio for the first TV

For the first TV, height $h_1 = 18$ inches and width $w_1 = 24$ inches. Then the aspect - ratio $r_1=\frac{w_1}{h_1}=\frac{24}{18}=\frac{4}{3}=4:3$.

Step3: Calculate aspect - ratio for the second TV

For the second TV, height $h_2 = 27$ inches and width $w_2 = 48$ inches. Then the aspect - ratio $r_2=\frac{w_2}{h_2}=\frac{48}{27}=\frac{16}{9}=16:9$.

Answer:

The aspect - ratio of the first TV is $4:3$ and the aspect - ratio of the second TV is $16:9$.