exam Maths Puzzle Numerical Ability

There were 40 students in a hostel. If the number of students increased by 5 the expenses of the mess were increased by Rs.45 per day while the averag expenditure per head diminish

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The perimeter of a rectangle is 76 cm. The length of the rectangle is eight more than four times its width. What are the dimensions of the rectangle? (1,1)
A=(0,2) find a matrix B such that C(A)=N(B)
(1,0)

i get that c(a) means column space and n(b) is a null space, but no idea how to d