Question

Determine o perímetro das figuras:

Answer 1

Resposta:

A) $10\sqrt{3}$

B) $9\sqrt{2}$

Explicação passo a passo:

A) $P_{retangulo}$ = $2(2\sqrt{3}) + 2(3\sqrt{3})$

                    = $4\sqrt{3}+6\sqrt{3}$

                    = $10\sqrt{3}$

B) $P_{triangulo}= \sqrt{8} + \sqrt{18} + \sqrt{32}$      

Decompor cada raiz quadrada:

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1

$\sqrt{8} = \sqrt{2^{3} } = \sqrt{2^{2} . 2 } = \sqrt{2^{2} } . \sqrt{2} = 2\sqrt{2}$

18 ÷ 3 = 6

6 ÷ 3 = 2

2 ÷ 2 = 1

$\sqrt{18}= \sqrt{3^{2}.2 } =\sqrt{3^{2} } . \sqrt{2} = 3\sqrt{2}$

32 ÷ 4 = 8

8 ÷ 4 = 2

2 ÷ 2 = 1

$\sqrt{32}= \sqrt{4^{2}.2 } =\sqrt{4^{2} } . \sqrt{2} = 4\sqrt{2}$

$P_{triangulo}= 2\sqrt{2} + 3\sqrt{2} + 4\sqrt{2}$

               = $9\sqrt{2}$