50 POINTS PLEASE HELP ASAP SHOW YOUR WORK
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.
Part B: What are the degree and classification of the expression obtained in Part A?
Part C: How does Part A demonstrate the closure property for polynomials? (5 points)

See below

Step-by-step explanation:

Part A: The expression would be (4x+5)(3x+10), or, when expanded, 12x^2+55x+50 since the area of a rectangle is length*width

Part B: The degree is 2 because it's classified as a quadratic and trinomial expression

Part C: The closure property of polynomials is that polynomials will be closed under an operation if the operation produces another polynomial. For example, since we had to multiply two binomials in Part A, the exponents of x get combined to make x^2 (because x^1*x^1=x^(1+1)=x^2)

I answered this before. 

A = 12x^{2} +55x+50

Step-by-step explanation:

b = 3x+10

h = 4x+5

A = bh

A = (3x+10)(4x+5)

A = 12x^{2} +15x+40x+50

A = 12x^{2} +55x+50

It is a second degree equation, since the major exponent is 2. In the multiplication of polynomials, it is necessary to consider their exponents, because these are added by passing the same variable, and they must always be integers

16

step-by-step explanation:

2 x 40 = 80

80/5

= 16

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.