Answer:
10 + 52[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Perimeter = 2l + 2w ( l is length and w is width )
l = [tex]\frac{1}{2}[/tex] × [tex]\sqrt{100}[/tex] = [tex]\frac{1}{2}[/tex] × 10 = 5
b = 2[tex]\sqrt{75}[/tex] + 4[tex]\sqrt{48}[/tex]
= 2[tex]\sqrt{25(3)}[/tex] + 4[tex]\sqrt{16(3)}[/tex]
= 2 × 5[tex]\sqrt{3}[/tex] + 4 × 4[tex]\sqrt{3}[/tex]
= 10[tex]\sqrt{3}[/tex] + 16[tex]\sqrt{3}[/tex] = 26[tex]\sqrt{3}[/tex]
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Perimeter = (2 × 5) + (2 × 26[tex]\sqrt{3}[/tex]) = 10 + 52[tex]\sqrt{3}[/tex]
