The Perimeter $P$ Of a Rectangle with Length I and Width W Is

Multiple Choice

The perimeter $P$ of a rectangle with length I and width W is given by the formula $P = 2 l + 2 w$ . Solve this formula for W . If the perimeter of a certain rectangle is 46.54 meters and its length is 16.25 meters, find its width.

A) $w = \frac { P - 2 l } { 2 } ; w = 4.83 \mathrm {~m}$
B) $w = \frac { 2 l - P } { 2 } ; w = 7.02 \mathrm {~m}$
C) $w = P - 2 l ; \quad w = 14.04 \mathrm {~m}$
D) $w = \frac { P - 2 l } { 2 } ; w = 7.02 \mathrm {~m}$
E) $w = 2 l - P ; \quad w = 4.83 \mathrm {~m}$