Chapter 12.6, Problem 61SPR

To determine

Calculate the area of the figure.

Answer to Problem 61SPR

The area is $21unit{s}^2$ .

Explanation of Solution

Given:

It is given in the question that there is a triangle ABC with the points $A(2,-3),B(-5,-3)\&C(-1,3)$ .

Concept Used:

In this, use the concept of plotting the graph and the formula used will be $A=bh$ .

Calculation:

Since, plot the points in the graph and make a triangle.

  

From the above it is seen that the base is $7$ and a height is $6$ .

So,

  $\begin{array}{l}A=\frac{1}{2}bh\\ A=\frac{1}{2}(7)\cdot (6)\\ A=21unit{s}^2\end{array}$

Conclusion:

The area is $21unit{s}^2$ .