Question

14 Determine as medidas dos lados do retângulo: b) x + 7 a) x + 2 X – 5 área = (2x + 65) m2 Х área = (8x) m?​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{A = C \:.\: L}$

$\mathsf{8x = (x + 2) \:.\: x}$

$\mathsf{8x = x^2 + 2x}$

$\mathsf{x^2 - 6x = 0}$

$\mathsf{x(x - 6) = 0}$

$\mathsf{x - 6 = 0}$

$\boxed{\boxed{\mathsf{L = x = 6}}}$

$\boxed{\boxed{\mathsf{C = x + 2 = 8}}}$

$\mathsf{2x + 65 = (x + 7) \:.\: (x - 5)}$

$\mathsf{2x + 65 = x^2 - 5x + 7x - 35}$

$\mathsf{2x + 65 = x^2 + 2x - 35}$

$\mathsf{x^2 = 100}$

$\mathsf{x = 10}$

$\boxed{\boxed{\mathsf{L = x - 5 = 5}}}$

$\boxed{\boxed{\mathsf{C = x + 7 = 17}}}$