Could someone clarify something for me?? What is the expression that represents the area of the rectangle? Do i solve this or do i just find the expression? Also could you help me solve the problem below?

See below.

Step-by-step explanation:

The question doesn't ask you to find the area, it just ask for the expression that represents the area.

The area of rectangle is A=bh, where b and h are each of the side lengths.

Since we know the sides are (2x+7) and (5x+9), this means that the expression for the area of the rectangle is:

To find the degree and classification, expand the factors:

Thus, this is a second degree quadratic expression

And from Part A, when we multiplied (2x+7)(5x+9), we got another polynomial (10x^2+52x+63). Thus, this rerepresents the closure property of polynomials, where multiplying a polynomial by another gets another polynomial.

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see below

Step-by-step explanation:

Part A

(2x+7) ( 5x+9)

Foil

first 2x*5x = 10x^2

outer: 2x*9 = 18x

inner: 7*5x= 35x

last: 7*9 = 63

Add together

10x^2 +18x+35x+63

10x^2+53x+63

Part B

This is a second degree polynomial called a quadratic

Part C

When we multiply two polynomials together, we get another polynomial.  This is the closure property for multiplication of polynomials

i just took the test, the correct answer is .. 31.5 in.