Question

question write an expression that represents the perimeter of the figure below. write your answer in simplified form.

Explanation:

Step1: Recall perimeter definition

Perimeter is sum of all side - lengths.

Step2: Identify side - lengths

The side - lengths of the figure are \(t\), \(w\), \(w\), \(w\), \(v\), \(u\), \(t\), \(u\), \(v\), \(w\).

Step3: Calculate perimeter

\(P=t + w+w + w+v + u+t + u+v + w\).

Step4: Combine like - terms

\(P = 2t+4w + 2u+2v\).

Answer:

\(2t + 4w+2u + 2v\)