Question

Use the quadrant system to find the area of the polygon.

A. 15 square units
B. 16 square units
C. 18 square units
D. 17 square units

Answer 1

Consider the bottom most rectangle.

Its length = 5 - 2 = 3 units

Its width = 3 - 1 = 2 units

So, its area = 3(2) = 6 square units.

Consider the middle rectangle.

Its length = 2 - 1 = 1 unit

Its width = 4 - 2 = 2 units

So, its area = 1(2) = 2 square units.

Finally, consider the top rectangle.

Its length = 6 - 1 = 5 units

Its width = 6 - 4 = 2 units

Its area = 5(2) = 10 square units.

Hence, total area = 6 + 2 + 10 = 18 square units. Correct option is C.