The area of a rectangle is 1 square inches. Express the perimeter P(w) as a function of the width w.

Answer:[tex]P(w)=2w+\frac{2}{w}[/tex]Step-by-step explanation:We are given the area of a rectangle is 1 inch square.You can find the area of a rectangle if you know the dimensions. Let's pretend the dimensions are w and l.So we given w*l=1.Now the perimeter of a rectangle with dimensions l and w is 2w+2l.We want to express P=2w+2l in terms of w only.We are given that w*l=1 so l=1/w (just divided both sides of w*l=1 by w).So let's plug it in for l (the 1/w thing).[tex]P=2w+2(\frac{1}{w})[/tex]So [tex]P(w)=2w+\frac{2}{w}[/tex].