Matematika

Pertanyaan

jika segitiga AFD=segitiga BEC dangan AF=3 cm,FE=8 cm,dan AD=5 cm,maka tentukan luas dan keliling trapesium!!
jika segitiga AFD=segitiga BEC dangan AF=3 cm,FE=8 cm,dan AD=5 cm,maka tentukan luas dan keliling trapesium!!

2 Jawaban

  • DF = 4 cm
    L = ( 8 + 14 ) x 4 : 2 = 44 cm*2

    Kll= 5+14+5+8 = 32 cm
  • t trapesium = DF
    DF = AD^2 - AF^2
    = 5^2 - 3^2
    = 25 - 9
    = √16
    = 4 cm
    sisi atas = DC = FE = 8 cm
    sisi bawah = AB
    AB = AF × 2 + FE = 3×2+8 = 6+8 = 14 cm
    L trapesium
    = 1/2 × (sisi atas + sisi bawah) × t
    = 1/2 × ( DC + AB ) × DF
    = 1/2 × ( 8cm + 14cm ) × 4cm
    = 1/2 × 22cm × 4 cm
    = 11cm × 4cm
    = 44 cm^2
    K trapesium = s1 + s2 + s3 +s4
    = AD + DC + CB + BE
    = 5cm + 8cm + 5cm + 14cm
    = 32cm