Matematika

Pertanyaan

perbandingan panjang dan lebar suatu persegi panjang 5:3.jika kelilingnya 240 cm .Luas persegi panjang=....…………cm²
a)3.375
b)4.320
c)6.750
d)13.500

(jawab pakai cara ya)

2 Jawaban

  • P:l = 5:3
    K = 240
    Dit. L
    K = 2(p+l)
    240 = 2(5x+3x)
    240= 10x + 6x
    15 = x

    Disubstitusikan
    L = p x l
    L = 5x x 3x
    L = (5x15)x(3x15)
    L = 75 x 45
    L = 3375 cm2

    Semoga membantu (:
  • Panjang : lebar = 5 : 3
    Maka,
    Panjang = (5/8) × a
    Lebar = (3/8) × a

    K = 2p + 2l
    240 = (2 × 5/8 × a) + (2 × 3/8 × a)
    240 = 2a
    a = 120


    Jadi,
    Panjang = (5/8) × a = 5/8 × 120 = 75
    Lebar = (3/8) × a = 3/8 × 120 = 45

    L = p × l = 75 × 45 = 3375

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