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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

Respuesta :

Answer:

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)

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