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UKMT Junior Mathematical Challenge, 2021

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

The diagram shows four congruent rectangles, each of perimeter 20 cm, surrounding a square of area $44\text{ cm}^2$ . What is the area of each rectangle?

(A) $14\text{ cm}^2$ (B) $16\text{ cm}^2$ (C) $18\text{ cm}^2$ (D) $20\text{ cm}^2$ (E) $22\text{ cm}^2$

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