Luas persegi panjang KLMN adalah …

Luas persegi panjang KLMN adalah …
a. 32√(3) cm²
b. 48√(3) cm²
c. 64√(3) cm²
d. 72√(3) cm²

Luas persegi panjang KLMN adalah ...

Jawaban yang benar adalah C.

Luas persegi panjang (L) = p x l
Dimana,
p = panjang
l = lebar

Ingat!
• Sin A = Sisi depan A/Sisi miring
• Cos A = Sisi samping A/Sisi miring
• Sin 30° = 1/2
• Cos 30° = 1/2 √3

Pembahasan,

Diketahui:
Sudut MKL = 30°
Jam = 16 cm
Sisi depan sudut MKL = ML = …
Sisi samping sudut MKL = KL = …

Jadi,
• sin 30° = ML/KM
1/2 = ML/16 cm
1/2 x 16 cm = ML
8 cm = ML
Sehingga,
ML = NK = Lebar = 8 cm

• cos 30° = KL/KM
1/2 √3 = KL/16 cm
1/2 √3 x 16 cm = KL
KL = 8√3 cm
Sehingga,
KL = NM = Panjang = 8√3 cm

Jadi,
L = p x l
L = (8√3) cm x 8 cm
L = 64√(3) cm

Oleh karena itu, jawaban yang tepat adalah C.

Baca Juga :  How long were Hilda and her friends in the beach and its surrounding ? Dear Clara, How are you? Last Saturday I went on a nice trip with some friends. We went to a lovely beach about 30 kilometers from my town. We left on the bus at nine clock in the morning and arrived at the beach at ten. We spent the morning playing in the beach. We also made a castle from sand. Then, we had lunch in a small restaurant overlooking the beach. After lunch we climbed a large hill behind the beach and saw the beautiful view from the top. We got back to the bus around three clock and then we came back to town. What is your holiday experience? Please share with me. Sincerely yours, Hilda