Question

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

Answer 1

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