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GCSE Mathematics Problem Solving Shape and Measure Higher Tier

GCSE Mathematics Problem Solving Shape and Measure Higher Tier. Knowing that the angle ABC = 120° calculate the area of the parallelogram BCEF. 8cm. B. C. 120. 3cm. Helping Hand. A. D. Find the area of the smaller parallelogram ABCD Do you have all the relevant measurements?

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GCSE Mathematics Problem Solving Shape and Measure Higher Tier

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  1. GCSE Mathematics Problem Solving Shape and Measure Higher Tier

  2. Knowing that the angle ABC = 120° calculate the area of the parallelogram BCEF. 8cm B C 120 3cm Helping Hand A D • Find the area of the smaller parallelogram ABCD • Do you have all the relevant measurements? • How can you find the missing measurements? 3cm 3cm F E 8cm

  3. Answer 8cm 120 3cm Area of a Parallelogram = base x perpendicular height The perpendicular height can be found using trigonometry.

  4. Answer The angle BCD = 180° - 120° = 60° (rules for angles in parallelograms) o h Sin (angle) = opposite hypotenuse

  5. Answer 8cm B C 120 3cm A D 3cm Area of small Parallelogram = base x perpendicular height = 8 x 2.6 = 20.8cm² 3cm Area of large Parallelogram = 3 x small parallelogram F E 8cm = 3 x 20.8 = 62.4cm²

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