Question 1058395
<font color=black size=3>"The ratio of length to width in a rectangle is 3 to 1" means {{{L/W=3/1}}} leading to {{{L = 3W}}} after we solve for L


In other words, the length is three times longer than the width. 


" the perimeter of the rectangle is 152 feet" so P = 152


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Perimeter of a rectangle: 



{{{P = 2*L+2*W}}}



{{{P = 2*3W+2*W}}} Replace L with 3W. This works because we found earlier that {{{L = 3W}}}



{{{152 = 2*3W+2*W}}} Replace P with 152; now we solve for W



{{{152 = 6W+2W}}}



{{{152 = 8W}}}



{{{8W = 152}}}



{{{8W/8 = 152/8}}}



{{{W = 19}}}



The width is 19 feet



Use this to find the length



{{{L = 3W}}}



{{{L = 3*19}}} Replace W with 19



{{{L = 57}}}



and the length is 57 feet


Therefore, the final answer is <font color=red size=4>choice A) 57 feet</font></font>