#### Answer

P = 2x + $\frac{96}{x}$

#### Work Step by Step

The area of rectangle is 48$in^{2}$
Where x is the width and y is length
To express the perimeter P of the rectangle in terms only of x
As we know area A of Rectangle A = L*B
Given A =48$in^{2}$, l = y and b = x
therefore 48 = xy
y = $\frac{48}{x}$
As we know the perimeter of rectangle P = 2(l+b)
P = 2(y+x)
= 2($\frac{48}{x}$ + x)
= $\frac{96}{x}$ + 2x
P = 2x + $\frac{96}{x}$
.