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  • 22-05-2019
  • Mathematics
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what is the area of this figure ​

what is the area of this figure class=

Respuesta :

gmany
gmany gmany
  • 22-05-2019

Answer:

532 m²

Step-by-step explanation:

We have a square with the side a = 18m and a triangle with the base

b = 18m + 8m = 26m and height h = 16m.

The formula of an area of a square:

[tex]A_{\square}=a^2[/tex]

The formula of an area of a triangle:

[tex]A_{\triangle}=\dfrac{bh}{2}[/tex]

Substitute:

[tex]A_{\square}=18^2=324\ m^2\\\\A_{\triangle=\dfrac{(26)(16)}{2}=(26)(8)=208\ m^2[/tex]

The area of figure:

[tex]A=A_{\square}+A_{\triangle}\\\\A=324\ m^2+208\ m^2=532\ m^2[/tex]

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