Foundation June 2025 Paper 2R Q16

EdexcelCurrent spec3 marks2D Area & Perimeter

16 The diagram shows a quadrilateral \(ACDF\)

Quadrilateral ACDF with FD parallel to AC. B lies on AC and E lies on FD, with BE drawn. FE = 26 cm, AB = 18 cm, BC = 12 cm

Diagram NOT accurately drawn

\(ABEF\) is a trapezium.
\(BCDE\) is a parallelogram.

\[FE = 26\text{ cm} \qquad AB = 18\text{ cm} \qquad BC = 12\text{ cm}\]

The area of the parallelogram \(BCDE\) is 96 cm²

Work out the area of the trapezium \(ABEF\)

(3)

Mark scheme

Scheme	Marks
96 ÷ 12 (= 8)	M1
\(\dfrac{1}{2}(18 + 26) \times [8]\)	M1
Correct answer scores full marks (unless from obvious incorrect working) Answer: 176	A1
	(3)
	(3 marks)

Notes

M1: for a complete method to find the height of the parallelogram

M1: for a method to find the area of the trapezium (do not allow missing brackets unless recovered)

where [8] is what they believe to be the height of the trapezium and must be positive. Do not allow [8] to be 12 or 1