Question

Find the area of the following shape. You must show all work to receive credit.

Figure ABCDEF is shown. A is located at negative 5, negative 8. B is located at 1, negative 8. C is located at 3, negative 5. D is located at 1, 0. E is located at negative 5, negative 3. F is located at negative 3, negative 6.

Answer 1

First get a graph and make the shape

Answer 2

I did

Answer 3

ok did you multiply length by width?

Answer 4

Im so confused is this a hexagon

Answer 5

it does make the shape of a hexagon right?

Answer 6

yes

Answer 7

ok

Answer 8

wait where did that go

Answer 9

sorry i had wrote the equation wrong let me type it right ^^

Answer 10

ok

Answer 11

Use the equation...

\(\Huge{d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}}\)

Choose two points that make a side length to find the side length.

Answer 12

ok

Answer 13

just do this for all segments and add and thats the answer

Answer 14

hint:

step 1) plot the points
step 2) connect the points to form a hexagon. This will not be a regular hexagon
step 3) break up the hexagon into triangles and a trapezoid (see attached)