November 2021 Paper 2 Q3
3 The rectangle and triangle shown have equal areas.
Not drawn accurately
Work out the value of \(\quad \dfrac{d}{e}\)
Give your answer in its simplest form. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(12de \times 2d\) or \(24d^2e\) or \(\dfrac{1}{2} \times 8e^2 \times 9d\) or \(36de^2\) | M1 | oe eg \(24ed^2\) or \(36e^2d\) |
| \(24d = 36e\) | M1dep | oe equation with squared terms eliminated eg \(2d = 3e\) or \(\dfrac{2d}{e} = 3\) or \(\dfrac{e}{d} = \dfrac{12}{18}\) |
| \(\dfrac{3}{2}\) or \(1\dfrac{1}{2}\) or 1.5 | A1 |
Additional guidance
| Equivalent fraction to \(\dfrac{3}{2}\) or \(1\dfrac{1}{2}\) with no incorrect working | M2A0 |