Foundation November 2021 Paper 1 Q9

EdexcelCurrent spec3 marks2D Area & Perimeter

9 The diagram shows two congruent triangles, \(ABC\) and \(DEF\), drawn on a centimetre grid.

Grid with x from 0 to 10 and y from 0 to 6; triangle ABC with A(1, 1), B(1, 5), C(7, 1); triangle DEF with D(4, 1), E(4, 5), F(10, 1); region R, the part of triangle DEF outside triangle ABC, is shaded

Find the area of the region R, shown shaded in the diagram.

(3)

Mark scheme

Scheme	Marks
(0.5 × 4 × 6) – (0.5 × 2 × 3) or 2 × 3 + 0.5 × 2 × 3 or (0.5 × 4 × 6) – (0.25 × “0.5 × 4 × 6”) oe	M2
9	A1
	(3)
	(3 marks)

Notes

M2: if not M2 then M1 for either 0.5 × 4 × 6 (= 12) or 0.5 × 2 × 3 (= 3)
if not M2 then M1 for either area of 1 large parallelogram (2 × 3) or 1 triangle (0.5 × 3 × 2)
Allow M1 for consistent use of incorrect side lengths, eg 0.5 × 5 × 7