7. A portrait without its frame has

a height 1.5 times its width w, 131

in inches. Its frame is 2 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.

The standard form is A. 1.5w² + 5w + 4

Step-by-step explanation:

Height of the portrait = 1.5 times its width in inches

Frame = 2 inches all along its perimeter

Let's recall that the area of a rectangle is length or height * width.

A = height * width

Now, we can replace in terms of w:

A = 1.5w * w

But we need to add the 2 inches of the frame, this way:

A = (1.5w + 2) * (w + 2)

A = 1.5w² + 2w + 3w + 4