book Maths Puzzle Numerical Ability

This is a lever problem I spent an hour trying to figure out last night. I will be so grateful for an explanation.

A woman uses a 10-foot bar to lift a 210-pound stone. If she

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I'm not sure how to handle the radical in this quadriatic equation:

x^2 + x + sqrt(x^2 + x) - 2 = 0

In the provide examples, the duplicated x^2 + x can be substituted by some Suppose you inscribe a square inside a circle with radius r. All four corners of the square are in the circle. The area of that square is what?