Question

What is the area of this triangle, in square units? Be prepared to explain or show your reasoning.PLEASEEEE

Answer 1

The easiest way to solve this problem is to find the area of the rectangle that contains the given triangle and then substract the areas of the not shaded traingles, as shown in the diagram:

The area of the rectangle will be:

`\begin{gathered} A=b\cdot h \\ A=5\cdot4=20 \end{gathered}`

The areas of the not shaded triangles:

`\begin{gathered} A=(b\cdot h)/(2) \\ A1=(4\cdot2)/(2)=4 \\ A2=(5\cdot2)/(2)=5 \\ A3=(1\cdot4)/(2)=2 \end{gathered}`

Now, substract the areas of the triangles to the area of the rectangle:

`A=20-4-5-2=9`

The area of the shaded triangle is 9.