Foundation November 2017 Paper 2 Q13

OCRFoundationCurrent spec3 marks2D Area & PerimeterSimilar Shapes

13 ABCD and PQRS are rectangles.
O is the centre of both rectangles.

Rectangle PQRS inside rectangle ABCD, both centred at O. Dotted diagonals AC and BD pass through the corners of PQRS. PQ = 6 cm and QR = 2 cm

Not to scale

AC is a straight line passing through P, O and R.
BD is a straight line passing through Q, O and S.

PQ = 6 cm and QR = 2 cm.
The perimeter of rectangle ABCD is 40 cm.

Work out the length and width of rectangle ABCD. [3]