Question

find the perimeter of the following figure. 5 ft rectangle 11 ft perimeter = □ ▼

Explanation:

Step1: Recall the formula for the perimeter of a rectangle

The perimeter \( P \) of a rectangle is given by the formula \( P = 2\times (length + width) \), where \( length \) and \( width \) are the length and width of the rectangle respectively.

Step2: Identify the length and width

From the figure, the length of the rectangle is \( 11 \) ft and the width is \( 5 \) ft.

Step3: Substitute the values into the formula

Substitute \( length = 11 \) ft and \( width = 5 \) ft into the formula \( P = 2\times (length + width) \).
We get \( P = 2\times(11 + 5) \).
First, calculate the sum inside the parentheses: \( 11+5 = 16 \).
Then, multiply by 2: \( 2\times16 = 32 \).

Answer:

\( 32 \) square feet (Wait, no, perimeter of a rectangle is in linear units, so it should be \( 32 \) feet. The formula gives the perimeter as \( 2\times(11 + 5)=2\times16 = 32 \) feet. So the perimeter is \( 32 \) feet. )

Wait, correcting the unit: Perimeter of a rectangle is a linear measure, so the unit is feet, not square feet. So the correct calculation is:

Step1: Recall the formula for the perimeter of a rectangle

The perimeter \( P \) of a rectangle is \( P = 2(l + w) \), where \( l \) is length and \( w \) is width.

Step2: Identify \( l = 11 \) ft, \( w = 5 \) ft

Step3: Substitute into formula

\( P=2\times(11 + 5)=2\times16 = 32 \)