1MA0 Higher November 2015 Paper 1 Q16
16

Diagram NOT accurately drawn
\(ABCD\) is a trapezium.
\(STUV\) is a rectangle.
All measurements are in centimetres.
The two shapes have the same perimeter.
Work out the length of \(ST\). (5)
| Answer | Mark | Notes |
|---|---|---|
| 13.75 | 5 | M1 for finding perimeter of rectangle e.g. \(5x + 5 + 5x + 5 + 4x + 4x\) \((= 18x + 10)\) M1 for finding perimeter of trapezium e.g. \(9x - 2 + 7x - 2 + 10x\) \((= 26x - 4)\) M1 for equation e.g. \(26x - 4 = 18x + 10\) (or \(8x = 14\)) A1 for finding the value of \(x\) as 1.75 B1 ft for subs of \(x\) into \(5x + 5\) and evaluated (=13.75) |