4400 Higher November 2004 Paper 4 Q3

EdexcelHigherOld spec4 marks2D Area & Perimeter

Plan of field ABCDE: AB = 150 m along the bottom, BC = 90 m up the right, CD = 70 m across the top, EA = 110 m up the left, ED sloping; right angles at A, B and C

Diagram NOT accurately drawn

The shape \(ABCDE\) is the plan of a field.
\(AB = 150\) m, \(BC = 90\) m, \(CD = 70\) m and \(EA = 110\) m.
The corners at \(A\), \(B\) and \(C\) are right angles.

Work out the area of the field.

(4)

Mark scheme

Scheme	Marks
Splits shape appropriately	M1
eg \(90 \times 70\) (6300) or \(150 \times 90\) (13 500)	M1
eg \(\left(\dfrac{110 + 90}{2}\right) \times 80\) (8000) or \(\frac{1}{2} \times 80 \times 20\) (800)	M1
14 300	A1
	(4)
	(4 marks)

Notes

M1: eg rectangle + triangle or rectangle + trapezium

M1: dep on 1st M1 for relevant rectangle area

M1: dep on 1st M1 for relevant triangle or trapezium area

A1: cao