Questions: Use the formula P=2L+2W to find the width of a rectangle when the length is 31 feet and the perimeter is 108 feet. The width is feet.

Solution Steps

Given the formula for the perimeter of a rectangle:
\[ P = 2L + 2W \]
Substitute \( P = 108 \) feet and \( L = 31 \) feet:
\[ 108 = 2(31) + 2W \]

Calculate \( 2(31) \):
\[ 108 = 62 + 2W \]

Subtract 62 from both sides:
\[ 108 - 62 = 2W \]
\[ 46 = 2W \]
Divide both sides by 2:
\[ W = \frac{46}{2} \]
\[ W = 23 \]

The width is \(\boxed{23}\) feet.

Final Answer