Foundation November 2021 Paper 3 Q20
20 The diagram shows rectangle ABCD.
Not to scale
DB = 13 cm and BC = 5 cm.
Calculate the area of the rectangle.
You must show your working. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 60 with correct working | 5 | B3 for 12 as third side with correct working or M2 for \(\sqrt{13^2 - 5^2}\) oe or M1 for \(13^2 = 5^2 + [\text{DC}^2]\) OR M1 for \(\angle\text{BDC} = \sin^{-1}\left(\dfrac{5}{13}\right)\) oe or \(\angle\text{CBD} = \cos^{-1}\left(\dfrac{5}{13}\right)\) oe M1 for \(13 \cos\) their \(\angle\text{BDC}\) or \(13 \sin\) their \(\angle\text{CBD}\) AND M1 for \(5 \times\) their DC (or AB) If 0 or 1 scored with no/insufficient working SC2 for answer 60 or If 0 scored with no/insufficient working SC1 for 12 as third side | For full marks, correct working requires Pythagoras or trig leading to 12 For B3 “correct working” requires evidence of M2 or M1 or mention of 5:12:13 triangle 22.6… or 67.3 to 67.4 oe may be in \(\triangle\)ABD Their DC (or AB) not = 13. If M1 scored and SC2 available, award SC2 only May be on diagram |