Question

find the perimeter. simplify your answer.

Explanation:

Step1: Recall the perimeter formula for a rectangle

The perimeter \( P \) of a rectangle is given by \( P = 2\times(\text{length} + \text{width}) \). In this case, the length is \( u - 1 \) and the width is \( u \).

Step2: Substitute the values into the formula

Substitute length \( = u - 1 \) and width \( = u \) into the formula:
\[
P = 2\times((u - 1) + u)
\]

Step3: Simplify the expression inside the parentheses

First, combine like terms inside the parentheses: \( (u - 1) + u = u + u - 1 = 2u - 1 \)

Step4: Multiply by 2

Now, multiply the result by 2:
\[
P = 2\times(2u - 1) = 4u - 2
\]

Answer:

The perimeter of the rectangle is \( 4u - 2 \)