Foundation June 2022 Paper 1 Q15
15 The diagram shows a shape \(ABCDEFG\) made from a square \(ABDF\) and three identical isosceles triangles \(BCD\), \(DEF\) and \(FGA\).
Diagram NOT accurately drawn
The perimeter of the square \(ABDF\) is 48 cm.
The perimeter of each isosceles triangle is 30 cm.
Work out the perimeter of the shape \(ABCDEFG\).
(4)
| Scheme | Marks |
|---|---|
| 48 ÷ 4 (=12) | M1 |
| 30 – “48 ÷ 4” (= 18) or 9 | M1 |
| 3 × “18” + “12” or 6 × “18 ÷ 2” + “12” or “54” + “12” | M1 |
| 66 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: could be on diagram
M1: allow 9 on correct side of the triangle on the diagram
M1: for a complete correct method