Higher June 2024 Paper 5 Q10
10 The diagram shows an equilateral triangle and a rectangle.
Not to scale
The equilateral triangle has the same perimeter as the rectangle.
Find the value of \(a\). [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 8 | 4 | M2 for \(a + a + a + 5 + a + 5 = 42\) oe or M1 for 3 × 14 oe or \(a + a + a + 5 + a + 5\) oe AND | Allow M2 if correct expression seen first and then incorrectly simplified before in eqn = 42 M1 implied by 42 or \(4a + 10\) oe |
| M1 for \(a = \frac{42 - 10}{4}\) oe or FT their equation of the form \(ka + c = d\) oe to \(a = \frac{d - c}{k}\) oe | FT only from written equation Where \(k\), \(c\) and \(d\) are positive integers and \(k \gt 1\) Allow M1 for one trial into \(2(a + 5) + 2a\) evaluated correctly | ||