Question

19.) part a: write an algebraic expression that represents the perimeter of the rectangle. part b: then simplify the expression to find the perimeter. 16x - 5 4x + 2

Explanation:

Step1: Recall the perimeter formula for a rectangle

The perimeter formula for a rectangle is \(P = 2(l + w)\), where \(l\) is the length and \(w\) is the width. Here, \(l=16x - 5\) and \(w = 4x+2\). So the algebraic expression is \(2[(16x - 5)+(4x + 2)]\).

Step2: Simplify the expression inside the brackets

$$
LATEXBLOCK0
$$

Step3: Multiply by 2

\(P=2(20x - 3)=40x-6\)

Answer:

Part A: \(2[(16x - 5)+(4x + 2)]\)
Part B: \(40x - 6\)