If someone used gumballs to measure the length and width, and their ordered pair were placed at (22,10), would we suspect they made a good measurement? What if the ordered pair had the coordinates (16, 10.5) would that be reasonable? Whatis your reasoning?

The ordered pair of (16, 10.5) is a more reasonable measurement because it gives a length to width ratio closer to 1.5 than the ordered pair of (22, 10) which gives 2.2.

The property of length and width being measured here is for a rectangle which is not given but I have attached it.

The actual length to width ratio of this uploaded rectangle in the attachment was given to be 1.5.

This means that; Length/Width = 1.5

We are given the point (22, 10) to represent length, width coordinate.

Thus, Length/Width = 22/10 = 2.2

This ratio is not close enough to the recommended one of 1.5 as seen earlier and thus it is an incorrect measurement.

The second ordered pair of (16, 10.5) means;

Length/Width = 16/10.5 = 1.52

This ratio is very close to the recommended one of 1.5. Thus it is a reasonable measurement.

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