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

Mathematics

1 answer:

yuradex [85]2 years ago

4 0

Answer:

D) 80 square units

Step-by-step explanation:

<em />

<em>It is easy to find the area if we simplify the task.</em>

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.

<h3>Trapezoid </h3>

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

<h3>Triangle</h3>

It has base:

4 - (-8) = 12 units

Height:

2 - (-8) = 10 units

The area is:

A = bh/2 = 12*10/2 = 60 units²

<h3>Total area </h3>

of the polygon is:

20 + 60 = 80 units²

Correct choice is D

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