Question

1. enter the algebraic expression for the perimeter of the rectangle.

18k
10

• refer to the last page of your notesheet for an example of writing an algebraic expression for the perimeter of a rectangle.
• show any work you used to write the algebraic expression for the perimeter.

Explanation:

Step1: Recall the formula for the perimeter of a rectangle

The formula for the perimeter \(P\) of a rectangle is \(P = 2\times(\text{length}+\text{width})\).

Step2: Identify the length and width

Here, the length \(l = 18k\) and the width \(w = 10\).

Step3: Substitute into the formula

Substitute \(l = 18k\) and \(w = 10\) into \(P = 2\times(l + w)\), we get \(P=2\times(18k + 10)\).

Step4: Simplify the expression

Using the distributive property \(a(b + c)=ab+ac\) (where \(a = 2\), \(b = 18k\), \(c = 10\)), we have \(P=2\times18k+2\times10=36k + 20\).

Answer:

\(36k + 20\)