Question

Please Help With Question. Will award Medal and will fan.

Answer 1

It needs to be in a paragraph form the answer BTW

Answer 2

So what are the coordinates for each point?

Answer 3

A(5, -8)
B(11, -8)
C(11, 0)
D(6, -3)
E(4, -3)
F(0, -6)

Answer 4

@Ineedhelplz

Answer 5

I got the area as 51.5 :)

Answer 6

But How? I need to show my work, and math is my pellettiest subject.

Answer 7

ok

Answer 8

\[K=12|xA(yB−yC)+xB(yC−yA)+xC(yA−yB)|\]

Answer 9

That is the formula for finding the area of a triangle

Answer 10

Ok

Answer 11

So we do this with every coordinate...

Answer 12

Ok

Answer 13

Wait, where did you get that formula?? I never learned that.

Answer 14

That was for triangles

Answer 15

It was wrong

Answer 16

Wait what do you mean it was wrong?

Answer 17

I'm writing the formula for irregular polygons right now

Answer 18

The formula was

Answer 19

I feel stupid... what? I dont understand *Crys in corner*

Answer 20

1. Break into triangles, then add
In the figure on the right, the polygon can be broken up into triangles by drawing all the diagonals from one of the vertices. If you know enough sides and angles to find the area of each, then you can simply add them up to find the total. Do not be afraid to draw extra lines anywhere if they will help find shapes you can solve.

Here, the irregular hexagon is divided in to 4 triangles by the addition of the red lines. ( See Area of a Triangle)
2. Find 'missing' triangles, then subtract
In the figure on the left, the overall shape is a regular hexagon, but there is a triangular piece missing.

We know how to find the area of a regular polygon so we just subtract the area of the 'missing' triangle created by drawing the red line. (See Area of a Regular Polygon and Area of a Triangle.)
3. Consider other shapes
In the figure on the right, the shape is an irregular hexagon, but it has a symmetry that lets us break it into two parallelograms by drawing the red dotted line. (assuming of course that the lines that look parallel really are!)

We know how to find the area of a parallelogram so we just find the area of each one and add them together. (See Area of a Parallelogram).
As you can see, there an infinite number of ways to break down the shape into pieces that are easier to manage. You then add or subtract the areas of the pieces. Exactly how you do it comes down to personal preference and what you are given to start.

4. If you know the coordinates of the vertices
If you know the x,y coordinates of the vertices (corners) of the shape, there is a method for finding the area directly. See Area of a polygon (Coordinate geometry). This works for all polygon types (regular, irregular, convex, concave). There is also a computer algorithm that does the same. See Algorithm to find the area of any polygon

Answer 21

That's how you find the area, or at least on technique...

Answer 22

OMFG THAT IS SO LONG.THANK YOU. HOLD UP I NEED TO READ IT BUT DAMN GIRL

Answer 23

I would answer this by splitting up the figure into separate triangles (triangle A,F,E triangle EAD triangle ADB triangle DBC) and use the distance formula a^2+b^2=c^2 to find a base and hieght

Answer 24

If you need help with the distance formula I can help you

Answer 25

Thats what I was trying to do... but lets say I didnt do it right. Like at all.

Answer 26

Let's first work with triangle AFE

Answer 27

Ok

Answer 28

A= points (5,-8) F= points (4,-3) E= points (0,-6) Okay?

Answer 29

Yeah

Answer 30

Now we need to find the distance between the base of the triangle. We can pick the base. So let's say our base is FA.

Answer 31

Ok

Answer 32

First we need to find the "a" in the distance formula equation a^2+b^2=c^2.

Answer 33

Yea

Answer 34

So we take the y-coordinates of points A and F. A= y-coordinates -8 F= y-coordinate -3

Answer 35

Now we subtract. (-3)-(-8)= 5