Answer :

Given:

The triangle KLM is given.

To find:

The area of the triangle.

Explanation:

Using the formula,

[tex]Area\text{ of the triangle=Area of the rectangle-Area of the triangle 1 - Area of the triangle 2 - Area of triagnle 3.}[/tex]

Substituting the values we get,

[tex]\begin{gathered} A=lb-\frac{1}{2}b_1h_1-\frac{1}{2}b_2h_2-\frac{1}{2}b_3h_3 \\ A=6\times5-\frac{1}{2}\times5\times4-\frac{1}{2}\times2\times2-\frac{1}{2}\times3\times6 \\ A=30-10-2-9 \\ A=9square\text{ units.} \end{gathered}[/tex]

Final answer:

The area of the triangle is 9 square units.