Question

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Answer 1

1.

a) Perímetro do retângulo:

$2(x + 1) + 2(2x - 1) = 18 \\ 2(x + 1 + 2x - 1) = 18 \\ 3x = 9 \\ x = 3 \: cm$

b) Perímetro do triângulo:

$2(3x + 1) + (3 - x) = 25 \\ 6x + 2 + 3 - x = 25 \\ 5x + 5 = 25 \\ 5x = 20 \\ x = 4 \: cm$

2.

$2(x + 1 + 2x - 1) > 2(3x + 1) + (3 - x) \\ 2x + 2 + 4x - 2 > 6x + 2 + 3 - x \\ 6x > 5x + 5 \\ x > 5$