Question

Find the area of the polygon with the given vertices E(3,1) F(3,-2) G(-2,-2)

Answer 1

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  $\frac{1}{2} product of legs$

                                                       that is $\frac{15}{2}$

                                                      = 7.5 square units

Answer 2

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.