Matematika

Pertanyaan

perbandingan keliling dan lebar persegi panjang 14:3 luas 192. tentukan panjang diagonal

1 Jawaban

  • k : l = 14 : 3
    (2p+2l) x 3 = 14 x l
    6p + 6l = 14l
    6p = 8l
    p = 8l/6

    p x l = 192
    8l² = 192 x 6
    l² = 1.152/8 = 144
    l = √144 = 12 cm

    p = 8x12/6 = 96/6 = 16 cm

    diagonal = √p²+l²
    = √16²+12²
    = √256+144
    = √400
    = 20 cm

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