The length of a rectangular frame is represented by the expression 2x + 8, and the width of the rectangular frame is represented by the expr

Question

The length of a rectangular frame is represented by the expression 2x + 8, and the width of the rectangular frame is represented by the expression 2x + 6. Write an equation to solve for the width of a rectangular frame that has a total area of 160 square inches
A.4×2 + 32x + 48 = 0
B.4×2 + 28x − 112 = 0
C. 2×2 + 32x − 112 = 0
D.x2 + 12x + 48 = 0

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Kaylee 2 weeks 2021-09-10T12:11:29+00:00 1 Answer 0

Answers ( )

    0
    2021-09-10T12:12:38+00:00

    Answer:

    B

    Step-by-step explanation:

    Area of rectangle = length * width

    length * width = 160 square inches

    (2x + 8) (2x +6) =160            {Use FOIL method}

    (2x*2x) + (2x*6) + (8*2x) + (8*6) = 160

    4x² + 12x + 16x + 48 = 160     {Add the like terms}

    4x² + 28x + 48 -160 = 0

    4x² + 28x – 112 = 0

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