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12 January, 07:11

The perimeter of ▭pqrs is 186. Find the length of each side of ▭pqrs under the given conditions: rs = sp - 7.

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  1. 12 January, 08:25
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    The formula of a perimeter of ▭PQRS is equal P = 2|RS| + 2|SP|.

    We have:

    P = 186

    |RS| = |SP| - 7

    Substitute

    2 (|SP| - 7) + 2|SP| = 186 |:2

    |SP| - 7 + |SP| = 93 |+7

    2|SP| = 100 |:2

    |SP| = 50

    |RS| = 50 - 7 = 43

    Answer: 50, 43, 50, 43.
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