Question

A DIAGONAL DE UM QUADRADO MEDE 6V2 CM CONFORME MOSTRA A FIGURA, QUAL O PERIMETRO DO QUADRADO.

Answer 1

QUESTÃO MUITO SIMPLES...
OBSERVE A RESOLUÇÃO EM ANEXO

Answer 2

      Rebequinha,
      Perímetro = soma de lados = 4L   (4 lados iguais)
      Necessário conhecer a medida do lado

      Num quadrado, dois lados consecutivos e a diagonal formam um triangulo
      retangulo onde
                          cateto 1 = L
                          cateto 2 = L
                          hipoptenuda = D
                                                      sendo
                                                            L = lado
                                                            D = diagonal

       Pelo Teorema e Pitágoras
                                                  D² = L² + L² = 2L²

       No quadrado em estudo
                                                   D = 6√2
                                                   L = ??
                                                                 (6√2)^2 = 2L²
                                                                  36.2 = 2L²
                                                                  L² = (36.2)/2
                                                                      = 36
                                                                  L = √36
                                                                                L = 6 cm
      Logo
                  PERÍMETRO = 24 cm
                   (6 x 4 = 24)