Question

Describe a method you can use to find the area of the following shape. Provide specific details in your answer, including coordinates and descriptions of shapes used. Then, find the actual area of the figure.

Answer 1

i say we could use triangles

Answer 2

you could do it this way
join AC and FC - you can then easily find the areas of those 2 triangles
(ABC and AFC)

Answer 3

& what about the rest ?

Answer 4

then you are left with a trapezium

Answer 5

FEDC - also easily find area of that

Answer 6

area = 0.5 (sum of parallel lines) * perpendicular distance

Answer 7

wait hold on. i should find the area of ABC and then the area of AFC.
Then FEDC and add them up ?

Answer 8

yes

Answer 9

no need to worry about the cordinates

Answer 10

Area of a triangle = (1/2)bh & for FEDC do we use the area of a parallelogram ?

Answer 11

well i guess you should mention the coordinatete for area of triangles
area ABC = 1/2 * AC * distance of B from the point (-2,2)

Answer 12

no FEDC is a trapezoid

Answer 13

FEDC will be \[A= \frac{ a+b }{2}h\]

Answer 14

yes

Answer 15

where a and b are the 2 parallel lines

Answer 16

you should get 30 sq units for the area of FECD

Answer 17

gotta go now - hope i've been of help

Answer 18

i didn't get 30 sq units for FECD :/