exam Maths Puzzle Numerical Ability

In a right triangle , the shorter leg is 6 less than the longer leg. The hypotenuse is 6 less than twice the shorter leg. Set up a quadratic equation and use it to determine the lenghth of the hypotenuse of the right triangle.

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A rancher has 100 meters of fencing to enclose two adjacent rectangular corrals. The rancher wants the enclosed area to be 350 square meters. What dimensions should the rancher use to obtain this area? Could ssomeone please explain how to work this problem?
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