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

Question

asked Nov 16, 2019 226k views

1 Answer

Laith Mihyar · Answer 1 · 2019-11-22T09:24:48+0000

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.