#### Answer

Length: 14 inches, Width: 10 inches

#### Work Step by Step

We are told that the perimeter of a rectangular game board is 48 in. and the length is 4 in. more than the width. Knowing that the perimeter of a rectangle is $2l+2w$, we can set this up as an equation (where l and w are the size of the length and width of the rectangle, respectively).
$48=2(x+4)+2(x)=2(x)+2(4)+2(x)=(2+2)x+8=4x+8$
Subtract 8 from both sides.
$48-8=4x+8-8$
$4x=40$
Divide both sides by 4.
$x=10$
Therefore, the width is $x=10$ inches. The length is $x+4=14$ inches.