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