1MA0 Foundation June 2014 Paper 2 Q28
28 The diagram shows a trapezium.
Diagram NOT accurately drawn
\(AD = x\) cm.
\(BC\) is the same length as \(AD\).
\(AB\) is twice the length of \(AD\).
\(DC\) is 4 cm longer than \(AB\).
The perimeter of the trapezium is 38 cm.
Work out the length of \(AD\). (4)
| Answer | Mark | Notes |
|---|---|---|
| \(5\dfrac{2}{3}\) | 4 | M1 for \(AB = 2x\) or \(DC = 2x + 4\) or for 38 – 4 ( = 34) M1(dep) for \(x + x + \text{‘}2x\text{’} + \text{‘}2x + 4\text{’}\) or for “38 – 4” ÷ 6 M1 for ‘\(6x + 4\)’ = 38 A1 for \(5\frac{2}{3}\) oe N.B. Accept answers in the range 5.6 to 5.7 if M3 scored SC if M0 then B2 for an answer in the range 5.6 to 5.7 |