Question

What is the area of the triangle in this coordinate plane?A. 9.0 units²B. 14.0 units²C. 16.5 units²D. 24.5 units²

Answer 1

C. 16.5 units²

Explanation

the area of a triangle is given by:

$A_{triangle}=\frac{base\cdot heigth}{2}$

Step 1

measure the base and the heigth in the graph

hence

$\begin{gathered} \text{base}=\text{ 14-3=11} \\ \text{heigth}=8-5=3 \end{gathered}$

now, replace in the formula

$\begin{gathered} A_{triangle}=\frac{base\cdot heigth}{2} \\ A_{triangle}=\frac{11\cdot3}{2}(units^2) \\ A_{triangle}=\frac{33}{2}(units^2) \\ A_{triangle}=16.5(units^2) \end{gathered}$

therrefore, the answer is

C. 16.5 units²

I hope this helps you