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UKMT Junior Kangaroo, 2022

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Rectangle $WXYZ$ is cut into four smaller rectangles as shown. The lengths of the perimeters of three of the smaller rectangles are 11, 16 and 19. The length of the perimeter of the fourth smaller rectangle lies between 11 and 19. What is the length of the perimeter of $WXYZ$ ?

(A) $28$ (B) $30$ (C) $32$ (D) $38$ (E) $40$

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