Answer
Perimeter=$4\sqrt2+4\sqrt3$ inches
$Area=$5+\sqrt{6}$ square inches
Work Step by Step
Perimeter is the sum of the lengths of the sides.
For a square, $P=4s$.
$P=4(\sqrt2+\sqrt3)$
Use the distributive property to simplify.
$P=4\sqrt2+4\sqrt3$
The area of a square is the product of the length of 2 sides.
$A=(\sqrt2+\sqrt3)(\sqrt2+\sqrt3)$
Use the FOIL method to multiply the two binomials.
$A=(\sqrt2\times\sqrt2)+(\sqrt2\times\sqrt3)+(\sqrt2\times\sqrt3)+(\sqrt3\times\sqrt3)$
Use the product rule for square roots to simplify.
$A=\sqrt4+\sqrt{6}+\sqrt{6}+\sqrt{9}$
Simplify square roots. Add like radicals.
$A=2+2\sqrt{6}+3=5+\sqrt{6}$
