4MA0 Foundation January 2017 Paper 1 Q14

EdexcelFoundationOld spec4 marks2D Area & Perimeter

14 \(ABCD\) is a square, with sides of length 10 cm, made from four rectangles.

Square ABCD of side 10 cm divided by lines EJG and HJF into four rectangles; AE = 3 cm; rectangle DHJG has area 12 cm squared; rectangle EBFJ is shaded

Diagram NOT accurately drawn

\(EJG\) and \(HJF\) are straight lines.
\(E\) is the point on \(AB\) such that \(AE = 3\) cm.
The area of rectangle \(DHJG\) is 12 cm²

Find the area of the shaded rectangle \(EBFJ\).

(4)