Chapter 9.5, Problem 28P

To determine

Find the area enclosed.

Answer to Problem 28P

  $120squareunits$

Explanation of Solution

Given information:

The two equations $x+y=20and3x-2y=0$ .

Calculation:

Here, we have the following equations:

  $x+y=20and3x-2y=0$

Now, we will represent them on the graph:

  

Now, we can observe from the graph that the triangle has formed with:

  $\begin{array}{l}Base=20\\ Height=12\\ So,Area=\frac{1}{2}BH\\ Area=\frac{1}{2}\left(20\right)\left(12\right)=120squareunits\end{array}$

Hence, the required answer is $120squareunits$ .