Question

4. Escreva a expressão algebrica que representa o perimetro da seguinte figura :​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\textsf{Per{\'i}metro {\'e} a soma da medida de todos os lados do pol{\'i}gono.}$

$\mathsf{P = \left(x + \dfrac{1}{2}\right) + \left(x + \dfrac{3}{2}\right) + x + x + (x + 2) + (x + 2) + x}$

$\mathsf{P = \left(x + \dfrac{1}{2}\right) + \left(x + \dfrac{3}{2}\right) + 3x + 2(x + 2)}$

$\mathsf{P = \left(x + \dfrac{1}{2}\right) + \left(x + \dfrac{3}{2}\right) + 3x + 2x + 4}$

$\mathsf{P = \left(x + \dfrac{1}{2}\right) + \left(x + \dfrac{3}{2}\right) + 5x + 4}$

$\mathsf{P = \left(\dfrac{2x + 1}{2}\right) + \left(\dfrac{2x + 3}{2}\right) + 5x + 4}$

$\mathsf{2P = (2x + 1) + (2x + 3) + 10x + 8}$

$\mathsf{2P = 14x + 12}$

$\boxed{\boxed{\mathsf{P = 7x + 6}}}$