Chapter 9.4, Problem 27P

Find the value of $x$ as it relates to each rectangle or triangle.

Area -60 $c{m}^2$

To determine

To find the values of $x.$

Answer to Problem 27P

The required values are $x=-10,6.$

Explanation of Solution

Given information: Given area of the rectangle is $60{\text{cm}}^2.$

Calculation:

Area of the rectangle is $lb=60{\text{cm}}^2.$

  $\begin{array}{l}x\left(x+4\right)=60\\ x^2+4x-60=0\\ \left(x+10\right)\left(x-6\right)=0\end{array}$

Use the zero- product property.

  $x=-10,6$

Thus, the required values are $x=-10,6.$