Chapter 9.3, Problem 25P

Model each problem with a quadratic equation. Then solve. If necessary, round to the nearest tenth.

The square tarp you are raking leaves onto has an area of 150 $f{t}^2$.

What is the side length of the tarp? Round your answer to the nearest of a foot if necessary.

To determine

To Find:

The side length of the tarp.

Answer to Problem 25P

The length of the tarp is $12.2ft$ .

Explanation of Solution

Given information:

The area of the square tarp is $150f{t}^2$ .

Let $x$ be the side of the square tarp.

Then the area is $x^2=150$

The quadratic equation is written as $x^2-150=0$

Hence, the length of the tarp is

  $\begin{array}{l}{x}^2=150\\ x=\sqrt{150}\\ x\approx 12.25\end{array}$

Therefore, the length of the tarp is $12.2ft$ .