Area & PerimeterCambridge IGCSE Maths: Flashcards

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What is the perimeter of a shape?

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What is the perimeter of a shape?: The total distance around its outside edge.
What is the area formula for a rectangle?: A = length × width
What is the area formula for a triangle?: A = 1/2 × base × height (this formula is given in the exam)
What is the area formula for a parallelogram?: A = base × height
What is the area formula for a trapezium?: A = 1/2 × (a + b) × height, where a and b are the parallel sides
Which of the four area formulas (rectangle, triangle, parallelogram, trapezium) is given in the exam?: Only the triangle area formula is given.
For a triangle's area, what type of height must be used?: The perpendicular height, not a slanted side.
What is a compound shape?: A shape made up of two or more basic shapes joined together.
How do you find the total area of a compound shape?: Split it into simple shapes, find each area, then add them together.
When finding the perimeter of a compound shape, which edges do you include?: Only the outer edges — not internal dividing lines.
How do you convert 1 m² into cm²?: 1 m² = 100² = 10 000 cm² (square the linear conversion factor).
How do you convert 1 cm² into mm²?: 1 cm² = 10² = 100 mm²
Why do area conversions use the square of the linear factor?: Because area is a two-dimensional measurement, so both dimensions scale by the same factor.
A trapezium has parallel sides 5 cm and 9 cm and height 3 cm. What is its area?: 0.5 × (5+9) × 3 = 21 cm²
What step should you take first when finding a missing side in a compound shape?: Identify which sides are shared between the parts, then use addition/subtraction of known lengths.