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UKMT Pink Kangaroo, 2025

Geometry Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Square $JKLM$ contains two rectangles. One is grey and the other striped, with dimensions as shown, but not to scale. The area where the rectangles overlap is $18\text{ cm}^2$ . What is the perimeter of $JKLM$ ?

(A) $28\text{ cm}$ (B) $34\text{ cm}$ (C) $36\text{ cm}$ (D) $38\text{ cm}$ (E) $40\text{ cm}$

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