exam Maths Puzzle Numerical Ability

The length of a rectangle is 1 cm longer than the width. If the diagonal of the rectangle is 4cm, what are the dimensions (the length and the width) of the rectangle.

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The volume of a quantity of ideal gas was help constant. The inital pressure and temperature were 8000 torr and 1500 kelvins. What was the final pressure if the temperature was raised to 3270 Kelvins?
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If f(x)=x(x+1)(x-4) use interval notation to give all values of x where f(x)>0