Chapter 8.2, Problem 43PPS

To determine

The size of the screen.

Answer to Problem 43PPS

  $47.0\text{inch}$

Explanation of Solution

Given:

Width:Length = 16:9

Width = 41 inch

Calculation:

The length of the TV will be:

  $\begin{array}{l}\frac{16}{9}=\frac{41}{l}\\ l=\frac{369}{16}\end{array}$

According to Pythagorean Theorem, the size of the screen will be:

  $\begin{array}{l}{x}^2={41}^2+{\frac{369}{16}}^2\\ x=\sqrt{1681+529}\\ x=\sqrt{2210}\\ x=47.0\text{inch}\end{array}$