A shell 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 Answer: the shell's width is: w = 4.9 inches a. About 4.9 inches
