Question

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

Answer 1

The correct answer option is C. 65 square units.

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.

Answer 2

Answer: Option 'C' is correct.

Explanation:

Since we have given that

Length of LM=13 units

Length of MN=10 units

As we know that

`\text{ Area of }\Delta ABC }=(1)/(2)* base* height`

So,

`\text{Area of }\Delta ABC}\\\\=(1)/(2)* 13* 10\\\\=65\text{ units }`

So, Option 'C' is correct.