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23 votes
Please help..
Solve for the area of the figure below and show work.

Please help.. Solve for the area of the figure below and show work.-example-1
User Levi Roberts
by
3.5k points

1 Answer

16 votes
16 votes

Answer and Step-by-step explanation:

1. We can see that this kite-shape has 4 triangles in it.

The area of a triangle is as follows:


image

Where:

b = Base (length)

h = Height

Top Right Triangle Area:

b = 9

h = 3

A =
image

A =
image

Bottom Right Triangle Area:

b = 9

h = 3

A =
image

A =
image

Top Left Triangle Area:

b = 4

h = 3


image

A =
image

A = 6

Bottom Left Triangle Area:

b = 4

h = 3


image

A =
image

A = 6

Now, we add all the areas together to get the area of the kite figure.

A =
image +

A = 27 + 12

A = 39

The area of the kite figure is 39
image.

2. We have to find the area of the trapezoid.

(I'm not sure if the 9 is for the entire bottom side length)

  • If the bottom side length is 9, then we would use the formula:

A =
image

to find the area of the entire trapezoid.

A =
image × 8.2

A ≈ 46.74
image

#teamtrees #PAW (Plant And Water)

User Roselia
by
3.0k points