Intermediate November 2023 Unit 2 Q18
18. The diagram below shows a shape made by joining two congruent rectangles together.
The length of each rectangle is \((5x + 3)\) cm.
The width of each rectangle is \((2x - 1)\) cm.
Diagram not drawn to scale
Write an expression for the total area of the shape in the form \(ax^2 + bx + c\), where \(a\), \(b\) and \(c\) are whole numbers. [3]
| Scheme | Marks | Comments |
|---|---|---|
| Sight of \((5x + 3)(2x - 1)\) or \(2(5x + 3)(2x - 1)\) or equivalent | S1 | Intention to (2 ×) width × length. Allow 4 × width × length or equivalent for S1. May be implied in later working if B2 or B1 awarded. |
| (total area of both rectangles = \(20x^2 + 2x - 6\) (cm2) | B2 | Mark final answer for B2. Allow \(20x^2 + 2x + -\, 6\) for B2. Award B1 for sight of one of the following:
|