Answer
Perimeter=$4\sqrt6$ inches
Area=$5$ square inches
Work Step by Step
Perimeter is the sum of the lengths of the sides.
For a rectangle, $P=2w+2l$.
$P=2(\sqrt6+1)+2(\sqrt6-1)$
Use the distributive property to simplify.
$P=2\sqrt6+2+2\sqrt6-2$
Combine like radicals.
$P=4\sqrt6$
The area of a rectangle is the product of the length and width.
$A=l\times w$
$A=(\sqrt6+1)(\sqrt6-1)$
Use the FOIL method to multiply the two binomials.
$A=(\sqrt6\times\sqrt6)+(-1\times\sqrt6)+(1\times\sqrt6)+(-1\times1)$
Simplify.
$A=6-\sqrt6+\sqrt6-1$
Combine like radicals/like terms.
$A=5$
