O Level MathematicsC5.2 Area and perimeter (rectangles, triangles, parallelograms, trapeziums, circles).

📐 Shape Up! Mastering Area & Perimeter in Minutes

Edudent Academy
12 Jan 26

Whether you are fencing a garden or shading a diagram in your exam, **area and perimeter** calculations appear everywhere in O-Level Mathematics. Getting these measurements right not only secures easy marks but also builds the foundation for more advanced geometry topics.

Unlocking Areas & Perimeters

Remember these **must-know formulae** and you will breeze through most Core questions:

  • Rectangle: A=l×bA = l\times b, P=2(l+b)P = 2(l+b)
  • Triangle: A=12bhA = \frac12 b h, P=P = sum of all three sides
  • Parallelogram: A=bhA = b h, P=2(a+b)P = 2(a+b)
  • Trapezium: A=12(a+b)hA = \frac12 (a+b)h, P=P = sum of all four sides
  • Circle: A=πr2A = \pi r^2, C=2πrC = 2\pi r

Worked Example: Garden Design Challenge

Problem: A trapezium has parallel sides of lengths 12 cm and 18 cm, non-parallel sides of 7 cm and 9 cm, and a height of 5 cm. Find (a) its area and (b) its perimeter.

  • Step 1:
    A=12(a+b)h=12(12+18)×5=75cm2A = \tfrac12 (a + b)h = \tfrac12 (12 + 18) \times 5 = 75\,\text{cm}^2
  • Step 2:
    P=12+18+7+9=46cmP = 12 + 18 + 7 + 9 = 46\,\text{cm}

Practice these shapes daily, double-check units, and you will convert textbook theory into **exam confidence**!