The boundary of an L-shaped verandah runs, in order, 10 m, 9 m, 4 m, 5 m, 6 m and 14 m before returning to the start. How much railing is needed to go once around it?

Question

Accepted Answer

48 m. An L-shaped figure has six sides and every one of them counts: 10 + 9 + 4 + 5 + 6 + 14 = 48 m. 34 m is what you get by forgetting the long 14 m side. 24 m treats the shape as a plain rectangle and adds only 14 + 10, which is length + breadth, not a perimeter.

The boundary of an L-shaped verandah runs, in order, 10 m, 9 m, 4 m, 5 m, 6 m and 14 m before returning to the start. How much railing is needed to go once around it?

Step-by-Step Solution

Key idea: Perimeter — the journey around

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