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Irregular Shape Area Calculation

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Irregular Shape Area Calculation

The school play needs a new floor covering for its stage. Work out the area of each stepped shape by splitting it into rectangles. Show your calculations and use square centimetres (cm²).

Warm-up: what does area measure?

Area tells us how much flat surface a shape covers. For an irregular shape, split it into rectangles, calculate each rectangle’s area, then add the areas. Make sure your rectangles cover the shape exactly, with no gaps or overlaps.

1.Finn says, “Area is the distance around a shape.” Is Finn correct? Choose the best answer.
  • Yes. Area is the distance around a shape.
  • No. Area is the amount of surface a shape covers.
  • No. Area is the number of corners in a shape.
2.The stage crew measures a rectangular mat that is 7 cm long and 4 cm wide. Calculate its area. Include the unit.

Read the stage plans

Each plan is described using centimetre measurements. Use the dimensions in each question to work out the area of the floor-covering shape.

3.Plan A is an 8 cm by 6 cm rectangle with a 4 cm by 3 cm corner removed. Calculate the area of the floor covering.
4.Plan A can also be split into two rectangles: a 4 cm by 6 cm rectangle and a 4 cm by 3 cm rectangle. Find their areas and add them to check the total area.
5.Isla is covering Plan B, a 9 cm by 5 cm rectangle with a 3 cm by 2 cm corner removed. What is the area to cover?
6.The crew has a roll that covers 40 cm². Is it enough to cover Plan B, which has an area of 39 cm²? How much area will be left over?
7.Arjun says, “If I split an irregular shape into rectangles in a different way, its total area changes.” Is this true or false? Explain briefly.
8.The two floor coverings have areas of 36 cm² and 39 cm². How much greater is the area of Plan B than Plan A?
9.A third stage panel is made from two rectangles that do not overlap: one is 5 cm by 3 cm and the other is 2 cm by 4 cm. Calculate the panel’s total area.

2 printable pages

  • Irregular Shape Area Calculation, page 1 of 2: Warm-up: what does area measure?, Read the stage plans

    Page 1

  • Irregular Shape Area Calculation, page 2 of 2: 4. Plan A can also be split into two rectangles: a 4 cm by 6 cm rectangle and a 4 cm by 3…

    Page 2

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