Question

Help me out!!What is the area of the polygon in square units?

Answer 1

Answer:

• D) 80 square units

Step-by-step explanation:

It is easy to find the area if we simplify the task.

Split the polygon into trapezoid and triangle by adding imaginary line y = 2 parallel to the x-axis.

Now find the area of each part.

Trapezoid

It has parallel bases:

• 0 - (-8) = 8 units and
• 4 - (-8) = 12 units

Its height is:

• 4 - 2 = 2 units

The area is:

• A = (b₁ + b₂)h/2 = (8 + 12)*2/2 = 20 units²

Triangle

It has base:

• 4 - (-8) = 12 units

Height:

• 2 - (-8) = 10 units

The area is:

• A = bh/2 = 12*10/2 = 60 units²

Total area

of the polygon is:

• 20 + 60 = 80 units²

Correct choice is D