Wide all along its perimeter. What is an expression for

A portrait without its frame has a height 1.5 times its width w, 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?

O A 1.5w2 + 5w + 4

B. 1.5w? + 8w + 8

C

1.5w2 + 8,5W + 16

O

D. 1.5w2 + 10w + 16

1.5w² + 10w + 16 sq, inches.

Step-by-step explanation:

The height of the portrait without the frame is 1.5 times its width.

Let the height is 1.5w inches and width is w inches.

Now, the frame around the portrait is 2 inches wide.

So, the dimensions of the portrait with frame are (1.5w + 4) inches by (w + 4) inches.

Therefore, the area of the framed portrait will be

(1.5w + 4) (w + 4)

= 1.5w² + 10w + 16 sq, inches. (Answer)