Jawaban:
1. ∠ABC + ∠BCD + ∠CDA + ∠DAB = 360°
∠ABC = ∠CDA = 118°
∠BCD = ∠DAB = x
118° + x + 118° + x = 360°
236° + 2x = 360°
2x = 124°
x = 62°
Maka, ∠BCD = 62°
∠BCA = 1/2 × ∠BCD = 1/2 × 62° = 31°
2. Keliling persegi panjang = 2 × panjang + 2 × lebar
= 2 × 16 cm + 2 × 10 cm
= 32 cm + 20 cm
= 52 cm
3. Luas Layang - Layang = 1/2 × Diagonal 1 × Diagonal 2
= 1/2 × 18 cm × 20 cm
= 9 cm × 20 cm
= 180 cm²
4. Luas Daerah yang diarsir = Luas Persegi Besar - Luas Persegi Kecil
Luas Persegi Besar = 10 cm × 10 cm = 100 cm²
Luas Persegi Kecil = (10 - 6) cm × (10 - 6) cm = 4 cm × 4 cm
= 16 cm²
Luas Daerah yang diarsir = 100 cm² - 16 cm² = 84 cm²
5. Luas Segitiga = 1/2 × Alas × Tinggi
= 1/2 × 13 cm × 12 cm
= 6 cm × 13 cm
= 78 cm²
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Jawaban:
1. ∠ABC + ∠BCD + ∠CDA + ∠DAB = 360°
∠ABC = ∠CDA = 118°
∠BCD = ∠DAB = x
118° + x + 118° + x = 360°
236° + 2x = 360°
2x = 124°
x = 62°
Maka, ∠BCD = 62°
∠BCA = 1/2 × ∠BCD = 1/2 × 62° = 31°
2. Keliling persegi panjang = 2 × panjang + 2 × lebar
= 2 × 16 cm + 2 × 10 cm
= 32 cm + 20 cm
= 52 cm
3. Luas Layang - Layang = 1/2 × Diagonal 1 × Diagonal 2
= 1/2 × 18 cm × 20 cm
= 9 cm × 20 cm
= 180 cm²
4. Luas Daerah yang diarsir = Luas Persegi Besar - Luas Persegi Kecil
Luas Persegi Besar = 10 cm × 10 cm = 100 cm²
Luas Persegi Kecil = (10 - 6) cm × (10 - 6) cm = 4 cm × 4 cm
= 16 cm²
Luas Daerah yang diarsir = 100 cm² - 16 cm² = 84 cm²
5. Luas Segitiga = 1/2 × Alas × Tinggi
= 1/2 × 13 cm × 12 cm
= 6 cm × 13 cm
= 78 cm²