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UKMT Senior Kangaroo, 2015

Algebra Difficulty 3.0 AMC 10/12 Prove it United Kingdom

A large rectangle is divided into four identical smaller rectangles by slicing parallel to one of its sides. The perimeter of the large rectangle is 18 metres more than the perimeter of each of the smaller rectangles. The area of the large rectangle is $18$ m $^2$ more than the area of each of the smaller rectangles. What is the perimeter in metres of the large rectangle?

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