Pertanyaan

Perhatikan gambar! Jika panjang OC = 6 cm, maka luas bangun ABCDEF adalah ....

Perhatikan gambar!

Jika panjang OC = 6 cm, maka luas bangun ABCDEF adalah ....

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R. Diah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Jika bangun ABCDEF dipecah akan membentuk jajargenjang ABEF dan layang-layang BCDE.

$O D equals O B equals square root of C D squared minus O C squared end root equals square root of 100 minus 36 end root equals 8 space cm O E equals square root of D E squared minus O D squared end root equals square root of 289 minus 64 end root equals 15 space cm L subscript A B F E end subscript equals a cross times t equals A B cross times O E equals 20 cross times 15 equals 300 space cm squared L subscript B C D E end subscript equals fraction numerator d subscript 1 cross times d subscript 2 over denominator 2 end fraction equals fraction numerator B D cross times C E over denominator 2 end fraction equals fraction numerator 16 cross times 21 over denominator 2 end fraction equals 168 space cm squared L subscript A B C D E F end subscript equals L subscript A B F E end subscript plus L subscript B C D E end subscript equals 468 space cm squared$