Foundation November 2019 Unit 1 Q19
19. The diagram below shows a rectangle ABCF and a trapezium CDEF.
AF = 7 cm, ED = 8 cm and the perpendicular distance between FC and ED is 6 cm.
The area of the rectangle ABCF is 91 cm2.
Diagram not drawn to scale
Calculate the area of the trapezium CDEF.
You must show all your working. [4]
From the formula list: Area of trapezium \(= \dfrac{1}{2}(a+b)h\)
| Scheme | Marks | Comments |
|---|---|---|
| (Area of ABCF =) 91 = 7 × CF | M1 | Lengths may be shown on the diagram. |
| (CF = 91/7 =) 13 (cm) | A1 | Allow AB shown as 13 (cm) for M1 A1. Allow an embedded 13 e.g. 7 × 13 = 91 for M1 A1. If ‘13’ seen to come from ‘6 + 7’ then M0 A0. |
| (Area CDEF =) \(\dfrac{(13 + 8) \times 6}{2}\) | M1 | FT ‘their stated or shown length CF’. Must be equal to AB if only AB calculated. Allow M1 for correct intent seen. e.g. 13 + 8 × 6 ÷ 2 (M0 if only unsupported answer of 37 given.) |
| = 63 (cm2) | A1 |