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9 December, 12:22

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

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Answers (1)
  1. 9 December, 12:35
    0
    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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