Question

ATneTION MeDal PluS Fan

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

split it into 3 parallelograms and a triangle...

Answer 2

nvm... maybe not. sorry bro

Answer 3

@Mertsj u know how dude?

Answer 4

I would carve off as many triangles as I could along the grid. For example, the triangle with vertices at A, F, and the point (-3,-8). E, F, (-3,-2) is another. (-3,-2), (1,-2), and D. D, C and B. There's a rectangle left in the middle, I think. Shouldn't be hard to crank it out.

Answer 5

I would find the area of the rectangle and subtract the area of the 4 triangles.
area of rectangle (length x width) [a c][b d] ; area of each triangle (1/2 x base x height)

Answer 6

Yes, I think @triciaal's approach might be easier. The rectangle in question is formed by the x-axis, the line y=-8, and lines perpendicular to the x-axis passing through points C and E.

Answer 7

Draw a square whose vertices are: K(-5,0) L(3,0 M(3,-8) A(-5,-8). It's area is 64.
Subtract the area of right triangle KED which is 1/2(3)(6)=9.
Subtract the area of right triangle DLC which is 1/2(2)(5)=5
Subtract the area of right triangle CMB which is 1/2(2)(3)=3
Subtract the area of triangle AFE which is 1/2(2)(5)=5
64-9-5-3-5=42

Answer 8

Another method: draw a grid on a sheet of material of known density and uniform thickness. Cut out the shape. Also cut out a 1 unit by 1 unit square of the material. Weigh the shape and the square individually. The area will be the weight of the shape divided by the weight of the square.