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UKMT Junior Mathematical Challenge, 2023

Geometry Difficulty 1.0 Junior Find the answer United Kingdom

In the diagram, all distances shown are in cm. The perimeter of the shape is 60 cm. What is the area, in $\text{cm}^2$ , of the shape? The diagram shows an L-shaped figure with a top horizontal segment of length $6$ , a left vertical segment of length $8$ , and a bottom horizontal segment of length $18$ .

(A) $192$ (B) $204$ (C) $212$ (D) $232$ (E) $252$

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