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.

Question

anonymous · Answer

attachment

aum · Answer

First step: Write the coordinates of each of the vertices.

To find the area of the figure, it may be easier to enclose the whole figure in a rectangle and then subtract the four triangles such as: triangle AFE, etc.

anonymous · Answer

i still dont get it :(

aum · Answer

Imagine drawing a vertical line joining AE and extending it to touch the x-axis.
Draw another vertical line passing through C, stopping at the x-axis on one end and in the same horizontal line as point B on the other end.
What will be the length and the height of this rectangle?

aum · Answer

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aum · Answer

Find the area of rectangle AJKG
Find the area of the triangles AFE, EGD, DKC, CBJ.  
Add the areas of the triangles and subtract it from the area of the rectangle to get the area of the figure.

Since the scale of the graph is 1:1, you can determine the lengths of the sides of rectangle, the side and height of the triangles simply by counting the grid lines.