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Year 7 · Maths · Calculating with numbers · Lesson 4

Area of rectangles, triangles and compound shapes

Find areas of rectangles, triangles, parallelograms and compound rectilinear shapes, including missing lengths and cost problems.

Whiteboard video lesson: Area of rectangles, triangles and compound shapes

21-minute video lesson

Teaching, worked examples and 20 practice questions solved step by step.

Watch free for a month

What your child will learn

  • Find the area of a rectangle
  • Find the area of a triangle
  • Find the area of a parallelogram
  • Find the area of compound shapes
  • Solve area problems

The method

  1. Choose the right formula.
  2. Triangle: use the perpendicular height.
  3. Compound shape: split it up, find each area, add.
  4. Area units are squared.

Key words: area, rectangle, triangle, compound shape, square units.

Worked examples

The first three practice questions from the lesson, with every step.

Question 1

Find the area of the rectangle.

  1. Step 1: A = length × width
  2. Step 2: A = 6 × 4 = 24 cm²

Answer: 24 cm²

Question 2

Find the area of the rectangle.

  1. Step 1: A = length × width
  2. Step 2: A = 9 × 7 = 63 cm²

Answer: 63 cm²

Question 3

Find the area of the rectangle.

  1. Step 1: A = length × width
  2. Step 2: A = 12 × 5 = 60 m²

Answer: 60 m²