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30 June, 11:16

LMNP is a rectangle. Find the value of x and the length of each diagonal.

LN = 6x + 1 and MP = 9x-5

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Answers (1)
  1. 30 June, 12:12
    0
    The given rectangle's diagonals are equal in length and is equal to 13 units.

    Step-by-step explanation:

    Step 1:

    Given

    LMNP is a rectangle.

    LN = 6 x + 1

    MP = 9 x - 5

    We need to find length of rectangle's diagonals

    Step 2:

    The rectangle's diagonals are equal in length.

    Here we have LN and MP as the given rectangle's diagonals

    So LN = MP

    => 9x - 5 = 6x + 1

    => 9x-6x = 1+5

    => 3x = 6

    => x = 2

    Step 3:

    So LN = 6x + 1 = 6 (2) + 1 = 13

    MP 9x - 5 = 9 (2) - 5 = 13

    Step 4:

    Answer:

    The given rectangle's diagonals are equal in length and is equal to 13 units.
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