Chapter 12, Problem 4QC

To determine

To calculate: The diagonal of a rectangular garden.

Answer to Problem 4QC

  $19.2$ feet

Explanation of Solution

Given information: The dimension of the garden is given as $12$ feet by $15$ feet.

Formula used: We will use the Pythagorean theorem $c^2=a^2+b^2$ . Where length is $b$ , the width is $a$ and the diagonal is $c$ of the rectangular garden.

Calculation: Using the Pythagorean theorem.

  

  $\begin{array}{l}{c}^2=a^2+b^2\\ c^2={15}^2+{12}^2\\ c^2=225+144\\ c^2=369\\ \sqrt{c^2}=\sqrt{369}\\ c=19.2\end{array}$

So, the walkway on the diagonal will be $19.2$ feet long.