Answer:
<u>The correct answer is A. 1.5w² + 5w + 4</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Height of the portrait = 1.5 times its width in inches
Frame = 2 inches all along its perimeter
2. What is an expression for the area of the framed portrait in terms of w?
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
<u>A = 1.5w² + 5w + 4</u>
<u>The correct answer is A. 1.5w² + 5w + 4</u>