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

Step-by-step explanation

the area of a triangle is given by:

`A_(triangle)=(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)=(base\cdot heigth)/(2) \\ A_(triangle)=(11\cdot3)/(2)(units^2) \\ A_(triangle)=(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