dylanconriqueotrsgk dylanconriqueotrsgk
  • 23-10-2018
  • Mathematics
contestada

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

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 class=

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JannetPalos
JannetPalos JannetPalos
  • 01-11-2018

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.

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