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What is the area of this polygon?

area of polygon is 39 square units

Step-by-step explanation:

you can separate this polygon into two separate figures:

rectangle RVED

triangle RMV

area of RVED = 5 x 6 or 30 units

area of RMV = 1/2(6) x 3 or 9 units

combined area of whole polygon is 39 square units

39 square units

Step-by-step explanation:

Section the polygon into a triangle RMV and a rectangle EDRV.

Area of a rectangle EDRV = width x height

⇒ area = 5 x 6 = 30 square units

Area of a triangle RMV = 1/2 x base x height

⇒ area = 1/2 x 6 x 3 = 9 square units

Total area = 30 + 9 = 39 square units

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