4MA0 Foundation June 2014 Paper 2R Q19

EdexcelFoundationOld spec4 marks2D Area & Perimeter Circles & Sectors

Shaded rectangle 20 cm by 12 cm with two circles of diameter 6 cm cut out

Diagram NOT accurately drawn

The diagram shows a metal plate in the shape of a rectangle.
The rectangle has length 20 cm and width 12 cm.
Two identical circles, each of diameter 6 cm, have been cut out of the plate.

Work out the area of the shaded region of the metal plate.
Give your answer correct to the nearest cm\(^2\).

(4)

Mark scheme

Scheme	Marks
\(\pi \times 3^2\) (= \(9\pi\)) (= 28.27…)	M1
20 × 12 (= 240)	M1
“240” − 2 × “28.27…”	M1
183	A1
	(4)
	(Total 4 marks)

Notes

M1: rounded or truncated to 3 or more sig figs

M1: dep on M2

A1: for 183 – 184