exam Maths Puzzle Numerical Ability

the hotel has given you the choise to choose the exact size of the spa, as long as its perimetre is between 50 and 75(i choose 60) they would like to know the dimensions of the gar

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I am having trouble with my homework sheets on matrices. Could someone please help with these.
Write the matrix equation as a system of equations and solve the system.
3.) [1 2 3
Find the foci of an ellipse with the equation 7(x - 2)^2 + 3(y - 2)^2 = 21