I have a problem from the GCSE revision book I'm using. They don't expect students at this level to calculate the maximum/minimum range (bounds?) from rounded x and y values.
A floor is being measured as being 5.3m x 4.2m to the nearest 10cm (0.1m). This gives an area of 22.26 square metres. The real values of x and y could be 5.25-5.35m and 4.15-4.25m. Maximum floor area is 22.7375 square metres and 21.7875 square metres.
I understand all this and the terminology used perfectly. But the book doesn't give a specific formula for calculating the highest/lowest extremes.
Perhaps I'm over-complicating. Perhaps I am just expected to multiply minimum-x by minimum y for the minimum extreme, and do the same with the maximum for the maximum. Am I missing something? Is there a formula at this GCSE level to calculate this? Or do I need to wait for A-level level (or higher) to find a more complex formula?
Thanks a lot in advance. And excuse me if I'm making a glaring error and missing the forest for the trees. I've been spending a week reviewing my GCSE mathematics and I'm still refreshing everything I did in school. Some things are going right over my head these first few days.