Adding and Subtracting Rational Expressions 1  Summary and Q&A
TL;DR
The perimeter of a rectangle with given length and width can be expressed as 6x + 4y over x + 4, with the domain excluding x = 4.
Questions & Answers
Q: How do you find the perimeter of a rectangle using rational expressions?
The perimeter is calculated by adding the width and length, each multiplied by 2. In this case, it is expressed as 2(x  3y + 2x + 5y).
Q: What is the simplified rational expression for the perimeter?
The simplified rational expression for the perimeter of the rectangle is 6x + 4y over x + 4. This expression cannot be further simplified.
Q: What is the significance of the domain in the rational expression?
The domain represents the values of x that would make the rational expression undefined. In this case, x cannot be equal to 4.
Q: How do you determine the domain for the rational expression?
To find the domain, find the values of x that would make the denominator (x + 4) equal to zero. In this case, x cannot be 4.
Summary & Key Takeaways

The perimeter of a rectangle can be found by adding the width and length multiplied by 2.

To find the perimeter as a rational expression, add the width (x  3y) and the length (2x + 5y) over a common denominator (x + 4).

Simplify the rational expression to 6x + 4y over x + 4, with x not equal to 4.