Question

Escreva Um Trinomio para representar a área de cada figura.
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Answer 1

Vamos là.

área da figura.

A = (x/2 + 3)*(x/2 + 3)

A = x^2/4 + 3x + 9

Answer 2

Explicação passo-a-passo:

$area_{1} = \frac{x}{2} \times ( \frac{x}{2} +3 ) \\ area_{1} = \frac{ {x}^{2} }{4} + \frac{3x}{2} \\ area_{1} = \frac{ {x}^{2} + (2 \times 3x)}{4} \\ area_{1} = \frac{ {x}^{2} + 6x}{4} = \frac{x(x + 6)}{4}$

$area_{2} = \frac{x}{2} \times \frac{x }{2} = ( \frac{x }{2})^{2} \\ area_{2} = \frac{ {x}^{2} }{4}$

$area_{3} = 3 \times \frac{x}{2} = \frac{3x}{2}$

$area_{4} = 3 \times 3 = 9$

$area_{5} = ( \frac{x}{2} + 3) \times ( \frac{x}{2} + 3) \\ area_{5} = (\frac{x + 6}{2} )^{2} \\ area_{5} = \frac{(x + 6)^{2} }{ {2}^{2} } \\ area_{5} = \frac{(x + 6)(x + 6)}{4} \\ area_{5} = \frac{ {x}^{2} + 6x + 6x + 36}{4} \\ area_{5} = \frac{ {x}^{2} + 12x + 36}{4}$

$area_{6} = 3( \frac{x}{2} + 3) = \frac{3x}{2} + 9 \\ area_{6} = \frac{3x + 18}{2} = \frac{3(x + 6)}{2}$