P = 2 l + 2 w
l = 6 + w 60 = 2 l + 2 w
60 = 2 ( 6 + w ) + 2 w 60 = 12 + 2 w + 2 w 60 = 12 + 4 w 48 = 4 w 12 = w
l = 6 + ( 12 ) l = 18
l e n g t h : 18 f t w i d t h : 12 f t
x − w i d t h x + 6 − l e n g t h 2 x + 2 ( x + 6 ) = 60 2 x + 2 ⋅ x + 2 ⋅ 6 = 60 2 x + 2 x + 12 = 60 4 x + 12 = 60 / − 12 4 x = 48 / : 4 x = 12 ( f t . ) x + 6 = 12 + 6 = 18 ( f t . ) A n s w er : 18 f t . × 12 f t .
The dimensions of the rectangular billboard are 12 feet wide and 18 feet long. The width is 12 feet, while the length is 6 feet longer at 18 feet. This is derived from the perimeter of 60 feet and the relationship between length and width.
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