Sagot :
Answer:
The perimeter is [tex]64 \sqrt{3}[/tex]
Step-by-step explanation:
Formula: P= 2(l+w)
[tex]l = 5 \sqrt{48} [/tex]
[tex]w = 4 \sqrt{27} [/tex]
[tex]p = ?[/tex]
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Find the perimeter using the formula [tex]p = 2(l + w)[/tex] .
[tex]p = 2(l + w)[/tex]
[tex]p = 2(5 \sqrt{48} + 4 \sqrt{27} )[/tex]
Simplify the rational expression [tex]5 \sqrt{48} + 4 \sqrt{27} )[/tex]
[tex]p = 2(5 \sqrt{16 \times 3} + 4 \sqrt{9 \times 3} )[/tex]
[tex]p = 2(20 \sqrt{3} + 12 \sqrt{3} )[/tex]
Add the coefficient and copy the [tex]\sqrt{3}[/tex] since they're like terms.
[tex]p = 2(32 \sqrt{3} )[/tex]
Multiply 2 by 32 and copy the [tex]\sqrt{3}[/tex]
Therefore, [tex]p = 64 \sqrt{3} [/tex]
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