Question

find the length of a rectangular lawn with a perimeter of 32 meters and a width of 5 meters. the length is □ meters.

Explanation:

Step1: Recall the perimeter formula for a rectangle

The perimeter \( P \) of a rectangle is given by the formula \( P = 2(l + w) \), where \( l \) is the length and \( w \) is the width. We know \( P = 32 \) meters and \( w = 5 \) meters, and we need to find \( l \).

Step2: Substitute the known values into the formula

Substitute \( P = 32 \) and \( w = 5 \) into the formula: \( 32 = 2(l + 5) \).

Step3: Solve for \( l \)

First, divide both sides of the equation by 2: \( \frac{32}{2}=l + 5 \), which simplifies to \( 16=l + 5 \). Then, subtract 5 from both sides: \( l=16 - 5 \).

Step4: Calculate the length

\( l = 11 \).

Answer:

11