Matematika

Pertanyaan

tolong bantu sama caranya ya plisssss
tolong bantu sama caranya ya plisssss

1 Jawaban

  • No. 1
    a) K = KN+NM+LM+KL
    =>KN = LM ; KL = NM
    =>K = 2KN+2KL = 2×(16+28) = 2×44 = 88cm

    No. 2
    Dik:
    L = 120cm2
    a = 15cm
    Dit: t = ?
    Jwb:
    L = a×t <=> t = L/a
    =========> t = 120cm2 / 15cm = 8cm

    No. 3
    Dik:
    L = 90cm2
    t = 15cm
    Dit: a = ?
    Jwb: a = L/t => a = 90cm2 / 15cm = 6cm

    No. 4
    a) Keliling = 10+10+17+15+6+10 = 68cm
    b) Luas = 1/2 (a+b)(t)
    =======> 1/2 (32+8)(16) = 1/2×40×16 = 320cm2

    No. 5
    Dik:
    * a : b = 2 : 5 <=> Misal: a = 2n dan b = 5n
    * c (panjang kaki) = 10cm
    * t = 8cm
    * L = 80cm2
    Dit:
    a) a = ?
    b) b = ?
    c) K = ?
    Jwb:
    a) Luas = 80cm2 = 1/2(a+b)×t
    => 80cm2 = 1/2(2n+5n)×8cm = 1/2×7n×8cm
    => 80cm2 = 7n×4cm => 20cm = 7n
    => n = (20/7)cm = 2. 6/7 cm
    Maka, a = 2n = 2×20/7 = (40/7) cm = 5. 5/7cm
    b) b = 5n = 5×20/7 = (100/7)cm = 14. 2/7cm
    c) K = a+b+2c = 40/7 + 100/7 + 2×10
    => K = 140/7 + 20 = 20 + 20 = 40cm

    No. 6 (itu kayaknya salah letak angka ya... harusnya 14 cm-nya di PS bukan PQ)
    Dik:
    * PS = a = 14cm
    * QR = b = 9cm
    * L = 138cm2
    Dit: SR = ?
    Jwb:
    => L = 1/2 × (9+14) × t
    => 138 = 1/2 × 23t
    => 138×2 = 23t
    => 276 = 23t => t = 276/23 = 12cm = PQ

    => SR = akar {(SP-RQ)^2 + PQ^2}
    => SR = akar {(14-9)^2 + 12^2}
    => SR = akar (5^2 + 12^2)
    => SR = akar (25 + 144) = akar (169)
    => SR = 13cm

    Semoga membantu^^