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Understanding Area Calculations of Various Geometric Shapes

This guide focuses on calculating the area of various geometric shapes, including rectangles, triangles, and composite figures. It provides hints on how to approach different problems, such as splitting shapes into manageable parts for easier calculation. Specific examples include finding the area of rectangles with cut-off corners, isosceles triangles, and adjusting areas based on missing sections. Utilizing parts like base and height in triangles encourages a thorough understanding of geometric principles.

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Understanding Area Calculations of Various Geometric Shapes

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  1. Areas How do you work out the area of this shape ? HINT

  2. How could you calculate the area of this shape ? HINT

  3. Work out the area of this shape. 5 cm 10 cm 3 cm 12 cm HINT

  4. How can you split this shape up so that you can work out its area ? 8 cm 4 cm 14 cm HINT

  5. Work out the area of this shape. 12 cm 8 cm 9 cm HINT

  6. Calculate the area of this isosceles triangle. 7 cm 10 cm HINT

  7. 4 cm The corner of this rectangle has been cut off. What is the area of the shape now ? 4 cm 9 cm 13 cm HINT Find the rectangle area then take away the area of the triangle.

  8. 18 cm What is the area of the blue shape ? 6 cm 10 cm 7 cm HINT Work out the area of the missing triangle.

  9. 20 cm The corners have been cut off a red square. The missing corners are all the same size. What is the area of the shape that is left ? 6 cm 8 cm 6 cm 8 cm HINT Find the area of the square. Subtract the area of 4 missing triangles.

  10. 30 cm The yellow triangles are all the same size as the green triangles. Work out the area of one green triangle. 18 cm HEIGHT BASE HINT Work out the base and height of one triangle.

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