The lengths of three sides of a quadrilateral are shown below:

side 1: 3y2 + 2y − 6

side 2: 3y − 7 + 4y2

side 3: −8 + 5y2 + 4y

the perimeter of the quadrilateral is 4y3 + 18y2 + 16y − 26.

part a: what is the total length of sides 1, 2, and 3 of the quadrilateral? (4 points)

part b: what is the length of the fourth side of the quadrilateral? (4 points)

part c: do the answers for part a and part b show that the polynomials are closed under addition and subtraction? justify your answer. (2 points)

question 2:
a rectangle has sides measuring (4x + 5) units and (3x + 10) units.

part a: what is the expression that represents the area of the rectangle? show your work to receive full credit. (4 points)

part b: what are the degree and classification of the expression obtained in part a? (3 points)

part c: how does part a demonstrate the closure property for polynomials? (3 points)

question 3:
a bucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 5t, where t represents time in minutes and p represents how far the paint is spreading.

the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = πp2.

part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. (6 points)

part b: how large is the area of spilled paint after 2 minutes? you may use 3.14 to approximate π in this problem. (4 points)