Lesson eLearning

A regular hexagon has a perimeter of 72 cm. Find its area.

hard 3 marks Class 7 · Mathematics · Perimeter and Area
Answer
216\sqrt{3} cm^2

The correct answer is 216\sqrt{3} cm^2 — Step 4: Area = (3\sqrt{3}/2) × 144 = 216\sqrt{3} cm^2.

Step-by-step solution

  1. Step 1: Side of hexagon = perimeter / 6 = 72 / 6 = 12 cm.
  2. Step 2: Area of a regular hexagon = (3\sqrt{3}/2) × side².
  3. Step 3: side² = 12² = 144.
  4. Step 4: Area = (3\sqrt{3}/2) × 144 = 216\sqrt{3} cm^2.
Common mistake: Not using the correct formula for a regular hexagon area

Concept tested: Area of a regular hexagon

Published · How this solution was prepared and checked

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