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UKMT Junior Kangaroo, 2019

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

Two rectangles of dimensions 8 cm by 10 cm and 9 cm by 12 cm overlap as shown in the diagram. The area of the black region is 3737 cm2^2. What is the area of the grey region?

(A) 6060 cm2^2 (B) 6262 cm2^2 (C) 62.562.5 cm2^2 (D) 6464 cm2^2 (E) 6565 cm2^2

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