4MA0 Foundation January 2017 Paper 1 Q14
14 \(ABCD\) is a square, with sides of length 10 cm, made from four rectangles.

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)
| Scheme | Marks |
|---|---|
| (\(HD/JG\) =) 12 ÷ 3 (=4) | M1 |
| (\(EB/JF/GC\) =) 10 − 3 (=7) or (\(AH/EJ/BF\) =) 10 − “4” (=6) | M1 |
| 10 × 10 − 3 × “6” − “4” × “7” − 12 or (10 − “4”) × ”7” | M1ft |
| 42 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: could be on diagram and may be part of a calculation eg 4×3=12
M1: could be on the diagram
M1ft: dep on M2
A1: cao