4MA0 Higher January 2014 Paper 3 Q15

EdexcelHigherOld spec3 marksAdvanced Trigonometry

Diagram NOT accurately drawn

\(ABCD\) is a parallelogram.
\(AB = 8.9\) cm.
\(AD = 6.7\) cm.
Angle \(BAD = 74^\circ\)

Calculate the area of parallelogram \(ABCD\).
Give your answer correct to 3 significant figures.

(3)

Mark scheme

Scheme	Marks
\(\frac{1}{2} \times 8.9 \times 6.7 \times \sin 74^\circ\) or 28.6(600...) or \(h = 6.7\sin 74^\circ\) or 6.44(0...)	M1
\(\times 2\) or \(8.9 \times \text{“}6.44(0...)\text{”}\)	M1
57.3	A1
	(3)
	(3 marks)

M1: or a complete correct method to find the perpendicular height

M1: (dep) for a complete method to find area of parallelogram

A1: for answer rounding to 57.3 (57.320...)