Chapter 10.1, Problem 5STP

For Exercises 1-6, choose the correct letter.

How long is the diagonal of a 12 ft-by-16 ft rectangular garden?

A. 6ft

B. 14 ft

C. 18 ft

D. 20 ft

To determine

To choose the correct answer.

Answer to Problem 5STP

D) $20ft$

Explanation of Solution

Given information:

How long is the diagonal of a $12ft$ by $16ft$ rectangular garden? A) $6ft$

B) $14ft$

C) $18ft$

D) $20ft$

The length of the diagonal is:

$\begin{array}{l}{\left(diagonal\right)}^2={\left(length\right)}^2+{\left(width\right)}^2\\ {\left(diagonal\right)}^2={16}^2+{12}^2\\ diagonal=\sqrt{256+144}\\ diagonal=\sqrt{400}\\ diagonal=20\end{array}$

Hence, the length of the diagonal is $20ft$ .