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2 November, 02:03

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.

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Answers (1)
  1. 2 November, 02:09
    0
    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
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