Ashell fits into a golden rectangle with a length of 8 in. what is the shell's width? write your answer is simplified radical form and rounded to the nearest tenth of an inch. select one: a. about 4.9 inches b. about 4.1 inches c. about 5.3 inches

For this case we have the following relationship:
 l / w = (1 + root (5)) / 2
 Where,
 l: length of the rectangle
 w: width of the rectangle
 Clearing the width we have:
 w = (2 / (1 + root (5))) * (l)
 Substituting values:
 w = (2 / (1 + root (5))) * (8)
 Rewriting:
 w = 4.94427191 inches
 Rounding off we have:
 w = 4.9 inches
 
 the shell's width is:
 w = 4.9 inches
 a. About 4.9 inches