book Maths Puzzle Numerical Ability

The perimeter of a rhombus is 36 cm. Find the area of the rhombus if one of its angles measures 30 degrees.

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What is the difference between a trig equation that is an identity and a trig equation that is not an identity? Provide an example to clarify.

I do know that Please help me on this problem
solve for x
4/x+3 -1/x^2-5x-24=3/x-8
this is what i have so far:
(x+3)(x-8)4/x+3 -1(x+3)(x-8)/(x+3)(x-8)=3(x+3)(x-8)/x-8
i know that the like terms cancel but i dont know what should be the denominator