b) Draw in one diagonal on the above rectangle and measure it to the nearest mm . 2 marks My diagonal is 85 mm . c) Use your large number from Q2a to calculate the expected length of the real diagonal at home. Show all working. Give your answer correct to the nearest cm . \begin{tabular}{l} My diagonal arks \\ \hline\end{tabular} Mome is cm.

To calculate the expected length of the real diagonal at home based on your measurement, you can use the Pythagorean theorem if the rectangle's sides are known. If we assume your rectangle has a width (w) and height (h), the formula for the diagonal (d) is \( d = \sqrt{w^2 + h^2} \). For simplicity, if you were measuring a standard rectangle where both dimensions are equal and each equals, say, 60 mm, then using this formula would yield: \[ d = \sqrt{60^2 + 60^2} = \sqrt{3600 + 3600} = \sqrt{7200} \approx 84.85 \text{ mm} \] Round that to the nearest cm, and you get approximately 85 mm, which translates to 8.5 cm since 1 cm is 10 mm. To clarify, if you are working with different dimensions, just plug in your specific width and height into the Pythagorean theorem, and you'll have the expected diagonal length for your particular rectangle! Keep in mind the importance of measuring accurately for precise calculations.