Foundation November 2020 Paper 3 Q17
17 The area of the triangle is equal to the area of the trapezium.
Not to scale
Calculate the height, \(h\) cm, of the trapezium. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 2.25 nfww | 5 | B2 for 36 or M1 for \(\dfrac{9 \times 8}{2}\) AND M2 for \(\dfrac{1}{2} \times (12 + 20) \times h =\) their area of triangle oe or M1 for \(\dfrac{1}{2} \times (12 + 20) \times h\) oe | \(8 \times 9 = 72\) then \(72 \div (20 + 12) = 2.25\) is wrong working May be in stages Allow (their area of triangle) \(\div 16\) or better e.g. \(36 \div 16\) or \(72 \div 32\) for M2 M2 and M1 may have area in stages e.g. \(12h + \dfrac{8h}{2}\) (rectangle + one or two triangles) May be two trials approaching their area of triangle or one correct trial with 2.25 May be \(16h\) or one trial with value for \(h\) substituted to attempt their area of triangle |