A portrait without its frame has a height 1.5 times its width w, in inches. Its frame is 4 in. wide all along its perimeter. What is an expression for the area of the framed portrait in terms of w? Simplify your expression and write it in standard form.

To represent the area of the framed picture in terms of w, you will first think of the dimensions of the unframed picture.these would be h = 1.5w and w.   if we are putting the frame around it, you will add 4 to both side of each dimension, making the new height 1.5w + 4 + 4 or 1.5w + 8.for the width it would be w + 4 + 4 or w + 8use these to represent the area.a = lw      (1.5w + 8)(w + 8)  a=   1.5w^2 + 20w + 64