Higher November 2021 Paper 2 Q5
5 Here is a right-angled triangle.
The shaded shape below is made from two of these triangles.
Work out the perimeter of the shaded shape.
Give your answer correct to 3 significant figures. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| 41.6 | P1 | for start of process to find the length of the hypotenuse, eg \((\text{hyp}^2 =)\ 8^2 + 10^2\ (= 164)\) |
| P1 | for complete process to find hypotenuse, eg \(\sqrt{8^2 + 10^2}\) or \(\sqrt{64 + 100}\) or \(\sqrt{164}\ (= 12.8\ldots)\) | |
| P1 | (dep P2) for complete process to find the required perimeter, eg \(8 + 8 + 10 + \text{``}12.8\text{''} + \text{``}12.8 - 10\text{''}\) or \(16 + 4\sqrt{41}\) | |
| A1 | for answer in the range 41 to 42 |
Additional guidance
Note lengths may be seen on the diagram
\(8 + 8 + \text{``}12.8\text{''} + \text{``}12.8\text{''}\) oe is acceptable for this mark
If an answer in the range 41 to 42 is given in the working space then incorrectly rounded, award full marks.