Respuesta :

nika001
The area of the purple figure is 74 m^2

To find the answer, subtract the area of the triangle (30m^2) from the area of the purple figure if the purple figure was a rectangle. (104 m^2). And there you have it. The answer is 74 m^2

Hope this helps and hope you have a great day and brainiest is always appreciated
carlosego

For this case we have to:

Area of a rectangle[tex]: A_ {r} = a * b[/tex]

Where a and b are the sides of the rectangle

Area of a triangle: [tex]A_ {t} = \frac {b * h} {2}[/tex]

Where b is the base and h is the height of the triangle.

So:

[tex]A_ {r} = a * b\\A_ {r} = 8 * 13\\A_ {r} = 104 \ m ^ 2[/tex]

On the other hand:

[tex]A_ {t} = \frac {5 * 6} {2}\\A_ {t} = 15 \ m ^ 2[/tex]

Finally, the area of the shaded region is given by:

[tex]A_ {r} -A_ {t} = 104-15 = 89 \ m ^ 2[/tex]

ANswer:

[tex]89 \ m ^ 2[/tex]

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