Question

find the perimeter. simplify your answer.
(t+10, t+10, 1 shown in the image of a shape)

Explanation:

Step1: Identify the sides of the rectangle

The figure is a rectangle with two sides of length \( t + 10 \) and two sides of length \( 1 \).

Step2: Recall the formula for the perimeter of a rectangle

The perimeter \( P \) of a rectangle is given by \( P = 2\times(\text{length}+\text{width}) \). Here, length is \( t + 10 \) and width is \( 1 \). So we can also calculate it by adding all four sides: \( P=(t + 10)+(t + 10)+1 + 1 \).

Step3: Simplify the expression

Combine like terms: \( (t + t)+(10 + 10)+(1 + 1)=2t+20 + 2=2t + 22 \).

Answer:

\( 2t + 22 \)