Intermediate November 2018 Unit 2 Q9
9. ABCE is a square.
Calculate the area of the shape ABCDE shown below. [5]

Diagram not drawn to scale
| Scheme | Marks | Comments |
|---|---|---|
| (Area of square =) 40·96(cm2) | B1 | |
| (Perp. height of triangle =) 4·3(cm) | B1 | May be seen on the diagram. Do not accept 4·3 as a ‘slant height’ unless used correctly for M1. |
| (Area of triangle =) \(\dfrac{6{\cdot}4 \times 4{\cdot}3}{2}\) | M1 | F.T. ‘their unambiguously stated 4·3’. (Not 10·7). |
| = 13·76(cm2) | A1 | |
| (Area of ABCDE = 40·96 + 13·76 =) 54·72(cm2) | B1 | F.T. from two derived or stated areas. Allow 54·7 only if 54·72 seen. Otherwise penalise pre-approximation −1 once only. |