exam Maths Puzzle Numerical Ability

What is the value of k if one root of (3k+1)x^2-2kx=-5 is 1?

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exam Other Question

how do i find the perimeter and area of a rectangle in the coordinate plane:

L(0,1)M(3,5)N(5,5)P(5,1)
please help me solve this is what I got 5x-3y=13
4x-3y=11 My answer is x=3 and y =1 I do not think this is correct. please help.