What is the area of polygon lmn? a. 50 square units b. 60 square units c. 65 square units d. 70 square units e. 80 square units

The correct answer option is C. 65 square units.

Step-by-step explanation:

A polygon is a figure with at least 3 straight or definite sides or typically 5 or more. The polygon we are given here is a triangle.

We know that,

Area of a triangle = 1/2 x b x h

If we look closely at the graph, we can count the units of length and base for the triangle. The length of the triangle (LM) above the x-axis is 7 and 6 below the x-axis which makes a total of 13 units.

While the base (MN) is 10 units (5 units on each side of the y-axis).

Area of the triangle = 1/2 x 10 x 13 = 65 square units

Therefore, the area of the given polygon is 65 square units.