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UKMT Grey Kangaroo, 2022

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

A builder has two identical bricks. She places them side by side in three different ways, as shown. The surface areas of the three shapes obtained are 72, 96 and 102. What is the surface area of the original brick?

(A) $36$ (B) $48$ (C) $52$ (D) $54$ (E) $60$

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