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Diketahui suatu layang-layang berkoordinat di titik K(−5,0), L(0, 12), M(16, 0), dan N(0, –12). Keliling layang-layang KLMN adalah .

Pertanyaan

Diketahui suatu layang-layang berkoordinat di titik K left parenthesis negative 5 comma 0 right parenthesis, L left parenthesis 0 comma space 12 right parenthesis, M left parenthesis 16 comma space 0 right parenthesis, dan N left parenthesis 0 comma space – 12 right parenthesis. Keliling layang-layang KLMN adalah .

  1. 33 satuan space

  2. 52 satuan space

  3. 66 satuan space

  4. 80 satuan space

M. Nasrullah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C

Pembahasan

Perhatikan gambar di bawah ini!

Pertama kita tentukan panjang masing-masing sisi pada layang-layang tersebut:

table attributes columnalign right center left columnspacing 0px end attributes row cell KL with bar on top end cell equals cell square root of open parentheses 0 minus 5 close parentheses squared plus open parentheses 12 minus 0 close parentheses squared end root end cell row blank equals cell square root of 25 plus 144 end root end cell row blank equals cell square root of 169 end cell row blank equals cell 13 space satuan end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row cell stack L M with bar on top end cell equals cell square root of open parentheses 16 minus 0 close parentheses squared plus open parentheses 0 minus 12 close parentheses squared end root end cell row blank equals cell square root of 256 plus 144 end root end cell row blank equals cell square root of 400 end cell row blank equals cell 20 space satuan end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row cell stack M N with bar on top end cell equals cell square root of open parentheses 0 minus 16 close parentheses squared plus open parentheses negative 12 minus 0 close parentheses squared end root end cell row blank equals cell square root of 256 plus 144 end root end cell row blank equals cell square root of 400 end cell row blank equals cell 20 space satuan end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row cell stack N K with bar on top end cell equals cell square root of open parentheses 0 minus open parentheses negative 5 close parentheses close parentheses squared plus open parentheses negative 12 minus 0 close parentheses squared end root end cell row blank equals cell square root of 25 plus 144 end root end cell row blank equals cell square root of 169 end cell row blank equals cell 13 space satuan end cell end table

Sehingga, keliling layang-layang tersebut:

table attributes columnalign right center left columnspacing 0px end attributes row Keliling equals cell stack K L with bar on top plus stack L M with bar on top plus stack M N with bar on top plus stack K N with bar on top end cell row blank equals cell 13 plus 20 plus 20 plus 13 end cell row blank equals cell 66 space satuan space end cell end table  

Jadi, jawaban yang tepat adalah C

163

4.9 (13 rating)

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