Higher June 2017 Paper 2 Q21
21 The diagram shows 3 identical circles inside a rectangle.
Each circle touches the other two circles and the sides of the rectangle, as shown in the diagram.
The radius of each circle is 24 mm.
Work out the area of the rectangle.
Give your answer correct to 3 significant figures. (4)
| Answer | Mark | Notes |
|---|---|---|
| 8600 | P1 | for process to find the length of the rectangle, e.g. \(24 \times 4\ (= 96)\) |
| P1 | for process to find the perpendicular height of an equilateral triangle of side \((24 \times 2)\) cm, e.g. \(48 \sin 60\ (= 41.5(69\ldots))\) or \(\sqrt{48^2 - 24^2}\ (= 24\sqrt{3}\) oe\()\) | |
| P1 | for complete process to find the width of rectangle, e.g. \(\text{``}41.5(69\ldots)\text{''} + 24 + 24\ (= 89.5(69\ldots))\) | |
| A1 | for answer in the range 8592 to 8602 |