How do I find and construct the geometric mean in this problem?

x would be the side-length of a square that has the same area as a rectangle with width b and length a.
√(a*b) = x
Notice that you have two "lengths" which are a and b.
And you want to find x such that:
a/x = x/b
Now, notice that w e can rewrite the above expressions as:
a*b = x*x
This means that x would be the side-length of a square that has the same area as a rectangle with width b and length a.
Now, if you know the values of a and b (you can get these by using a ruler for example)
Then you can replace them in the equation:
a*b = x*x
√(a*b) = x
And find the value of x that meets the given condition.
If you want to learn more about expressions:
https://brainly.com/question/4344214
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