Question

an aspect ratio is the relationship between the width and height of a shape. in total, the standard aspect ratio for televisions used to be 4:3. old - television sets also had an aspect ratio of 4:3. in the 1950s, hollywood wanted people to go to movie theaters, so they changed the size of the movies to make them more impressive 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 the height is 27 inches. width:

Explanation:

Step1: Set up proportion

The aspect - ratio is 4:3, which means $\frac{\text{width}}{\text{height}}=\frac{4}{3}$. Let the width be $w$ and the height be $h$. We have the proportion $\frac{w}{h}=\frac{4}{3}$.

Step2: Solve for width when $h = 27$ inches

Cross - multiply the proportion $\frac{w}{27}=\frac{4}{3}$ to get $3w=4\times27$. Then $3w = 108$. Divide both sides by 3: $w=\frac{108}{3}=36$ inches.

Answer:

36