CEMC Pascal, 2010

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

Rhombus $PQRS$ is inscribed in rectangle $JKLM$ , as shown. (A rhombus is a quadrilateral with four equal side lengths.) Segments $PZ$ and $XR$ are parallel to $JM$ . Segments $QW$ and $YS$ are parallel to $JK$ . If $JP = 39$ , $JS = 52$ , and $KQ = 25$ , what is the perimeter of rectangle $WXYZ$ ?

(A) $48$ (B) $58$ (C) $84$ (D) $96$ (E) $108$

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