#### Answer

Perimeter=$4\sqrt7$ inches
Area=$6$ square inches

#### Work Step by Step

Perimeter is the sum of the lengths of the sides.
For a rectangle, $P=2w+2l$.
$P=2(\sqrt7+1)+2(\sqrt7-1)$
Use the distributive property to simplify.
$P=2\sqrt7+2+2\sqrt7-2$
Combine like radicals.
$P=4\sqrt7$
The area of a rectangle is the product of the length and width.
$A=l\times w$
$A=(\sqrt7+1)(\sqrt7-1)$
Use the FOIL method to multiply the two binomials.
$A=(\sqrt7\times\sqrt7)+(-1\times\sqrt7)+(1\times\sqrt7)+(-1\times1)$
Simplify.
$A=7-\sqrt7+\sqrt7-1$
Combine like radicals/like terms.
$A=6$