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1. the height is 18 inches. width: 24 2. the height is 27 inches. width…

Question

  1. the height is 18 inches. width: 24 2. the height is 27 inches. width: draw a tape - diagram to figure out the other dimension for each television described below. for problems 1 - 3, the aspect ratio is 4:

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: Solve for width in Problem 1

Given aspect ratio = 4:1 and height = 18 inches. Let the width be $w$. Then $\frac{w}{18}=\frac{4}{1}$. Cross - multiply to get $w = 4\times18=72$ inches.

Step3: Solve for height in Problem 2

Given aspect ratio = 4:1 and width = 27 inches. Let the height be $h$. Then $\frac{27}{h}=\frac{4}{1}$. Cross - multiply to get $4h = 27$, so $h=\frac{27}{4}=6.75$ inches.

Answer:

  1. Width: 72 inches
  2. Height: 6.75 inches