Question

fill in the blanks. the perimeter of a rectangle is 20 ft. its width is 6 ft. what is the length? ______ draw it here.

Explanation:

Step1: Recall the perimeter formula of a rectangle

The formula for the perimeter \( P \) of a rectangle is \( P = 2\times (l + w) \), where \( l \) is the length and \( w \) is the width. We know \( P = 20 \) ft and \( w = 6 \) ft.

Step2: Substitute the known values into the formula

Substitute \( P = 20 \) and \( w = 6 \) into \( P = 2\times (l + w) \), we get \( 20 = 2\times (l + 6) \).

Step3: Solve for \( l \)

First, divide both sides of the equation by 2: \( \frac{20}{2}=\frac{2\times(l + 6)}{2} \), which simplifies to \( 10=l + 6 \). Then, subtract 6 from both sides: \( l=10 - 6 \).

Answer:

The length of the rectangle is \( 4 \) ft.