Question

find the perimeter. simplify your answer.

Explanation:

Step1: Recall the formula for the perimeter of a square

The perimeter \(P\) of a square is given by \(P = 4s\), where \(s\) is the side - length of the square. Here, \(s=t + 1\).

Step2: Substitute the side - length into the formula

Substitute \(s=t + 1\) into \(P = 4s\). We get \(P=4(t + 1)\).

Step3: Expand the expression

Using the distributive property \(a(b + c)=ab+ac\) (where \(a = 4\), \(b=t\), and \(c = 1\)), we have \(P=4\times t+4\times1\).
So, \(P = 4t+4\).

Answer:

\(4t + 4\)