P6 / Nanyang / 2019 / CA1 / Paper 2 – Q16 [5 marks]

Question:

A rectangle is made up of 5 triangles, A, B, C, D and E. The area of triangle A is 1/12 the area of the rectangle. The area of triangle C is 1/3 the area of the rectangle. The area of triangle A is equal to the area of triangle E. The area of triangle D is 96 cm².
(a) Find the ratio of the area of triangle C to the area of triangle D..
(b) Find the perimeter of the rectangle.