100
find the area of the following figure. explain or show how you got your answer.

26.5²

Step-by-step explanation:

To find the area of the following figure, we can actually break the figure up into 3 separate figures. We can split the figure up into 2 triangles and a square. I have linked a picture below showing where the "split" would be.

Now that we have simpler shapes, we can find the area of each of our new shapes using the following equations:

Area of a triangle = (Length x Width) ÷ 2

Area of a Square/Rectangle = Length x Width

For the rectangle:

Area of a Square/Rectangle = Length x Width

A = (5) x (4)

A = 20

For the left triangle:

Area of a triangle = (Length x Width) ÷ 2

A = (3) x (3) ÷ 2

A = (9) ÷ 2

A = 4.5

For the right triangle:

Area of a triangle = (Length x Width) ÷ 2

A = (2) x (2) ÷ 2

A = (4) ÷ 2

A = 2

Finally we can add up the areas of all 3 of our simpler shapes to get the area of the original figure.

20 + 4.5 + 2 = 26.5²

~Hope this helps!~

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