Christa has a picture frame that measures x in by (x + 2) in. The picture opening measures (x – 1)in by (x + 1)in. Write an equation, A(x),

Question

Christa has a picture frame that measures x in by (x + 2) in. The picture opening measures (x – 1)in by (x + 1)in. Write an equation, A(x), for the area of the picture frame, not including the opening.

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Athena 1 week 2021-09-14T23:38:30+00:00 2 Answers 0

Answers ( )

    0
    2021-09-14T23:40:03+00:00

    Answer:

    Step-by-step explanation:

    Area of rectangles

    The area of a rectangle of dimensions x and y is  

    A=xy

    The picture frame measures x and x-2 inches. The picture opening measures (x – 1) by (x + 1) inches. The external area of the frame is

    A_e=(x)(x-2)=x^2-2x

    The area of the picture opening is

    A_o=(x-1)(x+1)=x^2-1

    The ares of the frame, not including the picture opening is the difference

    A(x)=A_e-A_o=x^2-2x-(x^2-1)=-2x+1

    A(x)=-2x+1\ inches

    0
    2021-09-14T23:40:07+00:00

    Answer

    A(x) = 2x – 1

    Step-by-step explanation:

    just took on USATestPrep

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