3. Which equation represents the perimeter for the given rectangle?

Question

(2 points)
Responses

P = mx + b
P = mx + b

P = 2(t + u)
P = 2(t + u)

P = tu
P = tu

P = t + u
P = t + u

P = x + y + z
P = x + y + z
Question 2
4.

Show how to use the equation for the perimeter of a rectangle to find the perimeter when t = 17 and u = 11.

(2 points)
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Answer 1

To find the perimeter \( P \) of a rectangle, the correct equation to use is:

\[ P = 2(t + u) \]

where \( t \) is the length and \( u \) is the width of the rectangle.

Given:

• \( t = 17 \)
• \( u = 11 \)

You can substitute these values into the perimeter equation:

1. First, calculate \( t + u \): \[ t + u = 17 + 11 = 28 \]

2. Then, multiply by 2 to find the perimeter: \[ P = 2(t + u) = 2 \times 28 = 56 \]

So, the perimeter of the rectangle when \( t = 17 \) and \( u = 11 \) is \( P = 56 \).

Final Answer: The perimeter \( P \) is \( 56 \).