contestada

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

Respuesta :

carlosego
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

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