Respuesta :

Answer:

[tex]P = 8\sqrt{2} + 10 + 2\sqrt{6}[/tex]

Can only be simplified through calculator using decimal equivalents.

Step-by-step explanation:

The perimeter of a rectangle is the formula P=2l+2w. Here [tex]l=4\sqrt{2}[/tex] and [tex]w=5+\sqrt{6}[/tex]. So the perimeter is:

[tex]P= 2l+2w\\P = 2(4\sqrt{2} ) + 2(5+\sqrt{6} )\\P = 8\sqrt{2} + 10 + 2\sqrt{6}[/tex]