Respuesta :

tramserran

Answer: 54 cm²

Step-by-step explanation:

Area of the big triangle minus the area of the small triangle will give you the area of the shaded region.

[tex]\text{Area of big triangle}=\dfrac{base\cdot height}{2}\\\\A=\dfrac{24\times 6}{2}\\\\.\quad =12\times 6\\\\.\quad = 72[/tex]

[tex]\text{Area of small triangle}=\dfrac{base\cdot height}{2}\\\\A=\dfrac{12\times 3}{2}\\\\.\quad =6\times 3\\\\.\quad = 18[/tex]

Big - Small = Shaded

72   -   18     = Shaded

     54          = Shaded

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