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Given rectangle ABCD with vertices A(1, 4), B(3, 6), C(6, 3), and D(4, 1), what is the area of ABCD? Leave your answer in simplified radical form.

User GeekYouUp
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1 Answer

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Answer:

  • 12 units²

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Find the length of two adjacent sides, AB and AD, then multiply them together to get the area.

Use distance formula:


  • AB=√((3-1)^2+(6-4)^2) =√(2^2+2^2) =√(2*2^2)=2√(2)

  • AD=√((4-1)^2+(1-4)^2) =√(3^2+(-3)^2) =√(2*3^2)=3√(2)

The area is:

  • Area = AB*AD
  • Area =
    2√(2) *3√(2)
  • Area = 6(2)
  • Area = 12
User Mahesh K
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