Question

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Answer 1

Resposta:

a) P = 9a + 8 cm

b) a = 5 cm

c) A = 7a²/2 + 5a + 4 cm²

d) A = 160 cm²

Explicação passo a passo:

a) P = ?

P = a + a + 2 + a/2 + a + 2 + 2 + a + a + a + a + 2 + a/2 + a

P = 8a + 2 + a/2 + 2 + 2 + 2 + a/2

P = 8a + 8 + a/2 + a/2

P = 8a + 8 + a

P = 9a + 8 cm

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b) P = 53 cm → a = ?

9a + 8 = 53

9a = 53 - 8

9a = 45

a = 45/9

a = 5 cm

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c) A = ?

A = 2 × (a × a) + (2 + a) × (a/2 + a + 2)

A = 2 × a² + (2 + a) × (a/2 + 2a/2 + 2)

A = 2a² + (2 + a) × ((a + 2a)/2 + 2)

A = 2a² + (2 + a) × (3a/2 + 2)

A = 2a² + 2 × 3a/2 + 2 × 2 + a × 3a/2 + a × 2

A = 2a² + 3a + 4 + 3a²/2 + 2a

A = 2a² + 5a + 4 + 3a²/2

A = 4a²/2 + 5a + 4 + 3a²/2

A = 7a²/2 + 5a + 4 cm²

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d) a = 6 cm → A = ?

A = 7a²/2 + 5a + 4

A = 7 × 6²/2 + 5(6) + 4

A = 7 × 36/2 + 30 + 4

A = 7 × 18 + 34

A = 126 + 34

A = 160 cm²