The Okafor family are budgeting for a gazebo roof panel cut in the shape of a regular dodecagon. Each edge of the panel, sketched below, needs a strip of tr...
Question 1 Report
The Okafor family are budgeting for a gazebo roof panel cut in the shape of a regular dodecagon. Each edge of the panel, sketched below, needs a strip of trim \(0.8\) m long.
- Work out the total length of trim needed to go around the whole panel (2)
- Trim costs £6 per metre. Work out what the whole strip of trim will cost, to the nearest penny (2)
Answer Details
A regular dodecagon has 12 equal edges, so the total length needed to trim every edge is 12 times the length of one edge.
- [2] \[12 \times 0.8 = 9.6 \text{ m.}\]
- [2] At \(£6\) per metre, \[9.6 \times £6 = £57.60.\]
These "cost of the perimeter" questions always split into two clearly separate steps: first find the total length using the shape's properties, then multiply by the rate; keeping the steps separate avoids losing marks even if one step is wrong.
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