## Elementary Geometry for College Students (6th Edition)

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