Question

A rectangle has sides measuring (12x - 2) units and (x + 8) units.

Part A: What is the expression that represents the area of the rectangle? Show your work. (5 points)

Part B: What is the expression that represents the perimeter of the rectangle? Show your work. (5 points)

Part C: What are the degree and classification of the expression obtained in Part A? (3 points)

Answer 1

The area equation is:

A = (12x - 2)*(x + 8)

Which is a polynomial of degree 2, and the perimeter is:

P = 26x + 12

How to write the area of the rectangle?

Remember that for a rectangle of length L and width W, the area is written as:

A = L*W

Here we know that:

L = (12x - 2)

W = (x + 8)

Then the equation for the area is:

A = (12x - 2)*(x + 8).

How to write the perimeter?

For a rectangle of length L and width W, the perimeter is:

P = 2*(L + W).

Replacing what we know, we get:

P = 2*(12x - 2 + x + 8) = 2*(13x + 6) = 26x + 12

What are the degree and classification of the area equation?

The area equation is:

A = (12x - 2)*(x + 8).

Notice that this is a polynomial that is made of the product of two polynomials of degree 1, so this is a polynomial of degree 2.

If you want to learn more about polynomials:

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