The first three figures of a pattern are made from 1-cm squares arranged in a grid:<br><br>Figure 1: a single 1 cm × 1 cm square.<br><br>Figure 2: four 1-cm squares arranged in a 2 × 2 grid.<br><br>Figure 3: nine 1-cm squares arranged in a 3 × 3 grid.<br><br>The pattern continues so that Figure n is an n × n grid of 1-cm squares. Find the PERIMETER of Figure 6.
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Worked Solution
Step 1: Recognise the pattern. Figure n is an n × n grid of 1-cm squares, so its outer dimensions are n cm × n cm.
Step 2: Find the side length of Figure 6.
Side = 6 cm × 6 cm.
Step 3: Compute the perimeter of a square of side 6 cm.
Perimeter = 4 × 6 = 24 cm.
Answer: 24 cm
Correct answer: 24 cm
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