Foundation June 2018 Paper 2 Q16

OCRFoundationCurrent spec6 marksForming Equations

16 Four identical trapeziums are placed on a coordinate grid as shown.

Four identical trapeziums arranged in a staircase on x and y axes. The first has vertices at 0 and (a, 0) on the x-axis with height b, marked (0, b) on the y-axis. Point P is on the vertical side through (a, 0); point Q is the top right corner of the shape

Not to scale

(a) Write down algebraic expressions for the coordinates of point P. [2]
(b) The coordinates of point Q are (16, 13).

Work out the value of \(a\) and the value of \(b\). [4]

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