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2023 AMC 10B Problem 24

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2023 AMC 10B Problem 24AMC 10 Step by Step
Name:                             Date: September 13, 2026
Coordinate Geometry · difficulty 4 of 5 · about 7 min · position P21-25

What is the perimeter of the boundary of the region consisting of all points which can be expressed as (2u−3w,v+4w)(2u-3w, v+4w) with 0≤u≤10\le u\le1 , 0≤v≤1,0\le v\le1, and 0≤w≤10\le w\le1 ?

  1. A)

    10310\sqrt{3}

  2. B)

    1313

  3. C)

    1212

  4. D)

    1818

  5. E)

    1616

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