Chapter 6.5, Problem 44PPS

To determine

The dimensions of the replacement pane.

Answer to Problem 44PPS

The side of the replacement pane is 15 inches.

Explanation of Solution

Given:

The given figure is:

Calculation:

Let the side of the square be s.

Using Pythagoras Theorem;

  $\begin{array}{l}{s}^2+s^2=d^2\\ 2s^2={\left(\frac{85}{4}\right)}^2\\ 2s^2=\frac{7225}{16}\\ s^2=\frac{7225}{8}\\ s\approx 15\end{array}$

The side of the replacement pane is 15 inches.