Question

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: 3 the width is 16 inches. height:

Explanation:

Step1: Set up proportion

Let the width be $w$ and height be $h$. Given the aspect - ratio is $4:3$, we have the proportion $\frac{w}{h}=\frac{4}{3}$.

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

Substitute $h = 27$ into $\frac{w}{h}=\frac{4}{3}$, we get $w=\frac{4}{3}\times h$. Then $w=\frac{4}{3}\times27 = 36$ inches.

Step3: Solve for height when $w = 16$ inches

From $\frac{w}{h}=\frac{4}{3}$, we can rewrite it as $h=\frac{3}{4}\times w$. Substitute $w = 16$ into the formula, then $h=\frac{3}{4}\times16=12$ inches.

Answer:

1. Width: 36 inches
2. Height: 12 inches