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The polygon created with the given vertices happens to be a triangle with a base of 5 and a height of 3. The expression used to solve a triangle's area is base multiplied by height divided by 2. 5 x 3 = 15. 15/2 = 7.5. 7.5 square units is the answer.

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Answer:

7.5 square units is the answer.

Step-by-step explanation:

Slope of LineEF   = infinity

and slope of line FG =0

therefore   Line EF and FG are perpendicular at F

Therefore given polynomial is triangle and right triangle

with Right angled legs EF and FG

Length  of EF can be solved  by applying two points distance formula

which gives   3

likewise length of FG is 5

Area of right triangle is given by  [tex]\frac{1}{2}  product of legs[/tex]

                                                       that is [tex]\frac{15}{2}[/tex]

                                                      = 7.5 square units

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