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The length of the smaller rectangle at the right is 1 inch less than twice its width. Both the dimensions of the larger rectangle are 2 inches longer than the smaller rectangle. The area of the shaded region is 86 square inches. What is the area of the larger rectangle?

  • Math - assistance needed -

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  • Math -

    What does Nassau have to do with math?

  • math -

    The length of the smaller rectangle at the right is 1 inch less than twice its width. Both the dimensions of the larger rectangle are 2 inches longer than the smaller rectangle. The area of the shaded region is 86 square inches. What are the dimensions of the smaller rectangle?

  • Nassau -

    What shaded region?

  • Nassau -

    I will assume that the smaller rectangle is inside the larger, and the "shaded" region is the difference in their areas, so ...

    (2x+1)(x+2) - (2x-1)(x) = 86
    2x^2 + 5x + 2 - 2x^2 + x - 86 = 0
    6x = 84
    x = 14
    the smaller is 14 by 27

  • Nassau -

    14 by 27

  • Math -

    2+2=4

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