The instruction:
In case you are wondering, the formula to calculate the new height of an image based on the existing aspect ratio is height / width * new width.
Is valid.
We can see this (and other related formulas) with some algebra:
For a given height (h) and width (w), we might express the aspect ratio as h/w.
Now imagine we want to construct a new image of height (h2) and width (w2).
If we want these two images to have the same aspect ratio, we can express this by saying that:
h2/w2 = h/w
we can do some simple algebra of multiplying both sides by same values to yield new expressions:
h2 = (h/w)*w2
or
w2 = (w/h)*h2
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