Question

Tlong bntu jwb y mksih

Answer 1

Verified answer

Mapel : Matematika
Bab : Kesebangunan dan Kekongruenan

Diketahui :
- AE = 12 cm
- FG = 6 cm
- EF = 10 cm
- BC = 15 cm

Ditanya :
- Luas Trapesium ABCD = .....?

Penyelesaian :
- AB :
EF/BC = AE/AB
  10/15 = 12/AB
  10AB = 15 × 12
  10AB = 180
      AB = 180/10
      AB = 18 cm

- CD :
EF/BC = FG/CD
  10/15 = 6/CD
  10CD = 15 × 6
  10CD = 90
      CD = 90/10
      CD = 9 cm

- AD :
AD = √BC² - (AB - CD)²
AD = √15² - (18 - 9)²
AD = √225 - 9²
AD = √225 - 81
AD = √144
AD = 12 cm

- Luas Trapesium ABCD :
L = ½ × (a + b) × t
L = ½ × (18 + 9) × 12
L = 27 × 6
L = 162 cm²

Jawaban : A. 162,0 cm²

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