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.
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
