2(p+l)=keliling segi panjang
2(p+l) = 68
p + l = 34
p = 34 - l
p x l = luas persegi panjang
( 34 - l ) x l = 240
34l - l² = 240
l² - 34l + 240 = 0
( l - 10 ) ( l - 24 )
l = 10 atau l = 24
Panjang diagonal
[tex] \sqrt{ {p}^{2} + {l}^{2} } \\ \sqrt{ {10}^{2} + {24}^{2} } \\ \sqrt{100 + 576} \\ \sqrt{676} \\ 26 \: cm \: (D)[/tex]
Jawaban:
D
Penjelasan dengan langkah-langkah:
Ada pada lampiran
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2(p+l)=keliling segi panjang
2(p+l) = 68
p + l = 34
p = 34 - l
p x l = luas persegi panjang
( 34 - l ) x l = 240
34l - l² = 240
l² - 34l + 240 = 0
( l - 10 ) ( l - 24 )
l = 10 atau l = 24
Panjang diagonal
[tex] \sqrt{ {p}^{2} + {l}^{2} } \\ \sqrt{ {10}^{2} + {24}^{2} } \\ \sqrt{100 + 576} \\ \sqrt{676} \\ 26 \: cm \: (D)[/tex]
Jawaban:
D
Penjelasan dengan langkah-langkah:
Ada pada lampiran
#LearnWithBrainly