GCSE Mathematics Problem Solving Shape and Measure Higher Tier.

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GCSE Mathematics Problem Solving Shape and Measure Higher Tier

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

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

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

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