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6 September, 15:46

The perimeter of ▭PQRS is 84. Find the length of each side of ▭PQRS under the given conditions: SP = RS2.

The lengths PQ and RS are

The lengths QR and SP are

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Answers (1)
  1. 6 September, 19:44
    0
    The lengths PQ and RS are 14 units and The lengths QR and SP are 28 units.

    Step-by-step explanation:

    Given,

    The perimeter of ▭PQRS = 84

    And SP = 2RS

    To find, the lengths PQ and RS = ? and

    The lengths QR and SP = ?

    ∴ The perimeter of ▭PQRS = PQ + QR + RS + SP

    PQ = RS and QR = SP

    The perimeter of ▭PQRS = RS + SP + RS + SP

    = 2 (RS + SP)

    ⇒ 2 (RS + SP) = 84

    ⇒ RS + SP = 42

    ⇒ RS + 2RS = 42

    ⇒ 3RS = 42

    ⇒ RS = 14

    ∴ SP = 2 * 14 = 28

    Thus, the lengths PQ and RS are 14 units and The lengths QR and SP are 28 units.
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