Respuesta :

Answer:

96

Step-by-step explanation:

2 x 8 =16

8 x 7 = 56

3 x 8 = 24

24 + 56 = 80

80 + 16 = 96

Hi!

The area of the entire figure is 76 units squared.

NOTE: This question has two different shapes: a rectangle, and a triangle.

Rectangle Formula:

Length * Width = Area

[tex]LW=A[/tex]

Triangle Formula

(Base * Height) / 2 = Area

[tex]\cfrac{bh}{2}=A[/tex]

Let's first get the rectangle's area:

[tex]LW=A[/tex]

[tex]8*7=A[/tex]

[tex]56=A[/tex]

The area of the rectangle is 56.

Now, for the top triangle:

[tex]\cfrac{bh}{2} =A[/tex]

[tex]\cfrac{8*2}{2} =A[/tex]

[tex]8=A[/tex]

The area of the top triangle is 8.

Now, for the bottom triangle.

[tex]\cfrac{bh}{2} =A[/tex]

[tex]\cfrac{8*3}{2} =A[/tex]

[tex]12=A[/tex]

The area of the bottom triangle is 12.

Now, add them all together:

[tex]56+8+12=76[/tex]

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