Suppose we have a rectangle like the one shown below, which is to
be cut in half. If the short side has a length of one unit, what
length for the long side will make the two half rectangles exactly the
same shape as the original rectangle? By same shape we mean
that the ratio of the long side to the short side is the same. For
full marks, your answer should not be a decimal approximation like 1.5
or 3.14 but an exact mathematical expression.
Hint: the answer involves a square root which you can email as
SQRT. So if the answer were three plus the square root of seven you
could email me 3+SQRT(7). You can also email me a scan of your
work.
Send your answer to mathstat@uoguelph.ca
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