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)

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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)

Mathematics
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area = product of adjacent sides so area = (4x + 5)(3x + 10) can you expand this?
= 4(3x + 10) + 5(3x + 10) can you continue?
r u there?

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Other answers:

Sorry yes.
I am confused.
do you follow why (4x + 5)(3x + 10) is the expression for the area of the rectangle?
A little....
(4x + 5) is the length of one side and (3x + 10) is the length of the other and the area of a rectangle = length * width ( which are 2 adjacent aides)
Ok okay :]
placing them together means they are to be multiplied
O okay :]
(4x + 5)(3x + 10) now we have to first multiply (3x + 10) by 4x then by 5 = 4x(3x + 10) + 5(3x + 10)
ok?
Okay
can you do that?
yes 1 min :]
12x2+55x+50?
yes right that represents the are of the rectangle
Part B the degree of the expression is the highest power which is in 12x^2 so its degree 2
So that answer is for part a? 12x^2+55x+50?
yes
OKay :]
ant its an example of a polynomial In fact as it has 3 terms so its a trinomial thats part B
The last two comments you said correct?
First its degree 2 and its classified as a trinomial.
thats answer to part B
OK THANK YOU SO MUCH!!!!!!!!!!!!!!!!!!!!!!!
What part C lol.
yw Part C in part A we multiplied 2 polynomials (4x + 5) and ( 3x + 10) and obtained another polynomial. This demonstrated the closure property of polynomials
Thats all for part c?
yes
Can you help me with 1 more?
one polynomial multiplied another polynomial gives another polynomial
sorry i gotta go right now
A barrel of tomato sauce has spilled on a tile floor. The sauce flow can be expressed with the function r(t) = 2t, where t represents time in minutes and r represents how far the sauce is spreading. The spilled sauce is creating a circular pattern on the tile. The area of the pattern can be expressed as A(r) = πr2. Part A: Find the area of the circle of spilled sauce as a function of time, or A[r(t)]. Show your work. (6 points) Part B: How large is the area of spilled sauce after 5 minutes? You may use 3.14 to approximate π in this problem. (4 points)
Oh ok :-/

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