Problema Solution

A golden rectangle is one of the most visually appealing of all geometric forms. The Parthenon, built by the Greeks in the 5th century B.C., fits into a golden rectangle if its ruined triangular pediment is included. In a golden rectangle, the length l and width w must satisfy the equation below. If a rectangular billboard is to have a width of 30 feet, what should its length be so that it is a golden rectangle? (Give your answer correct to 1 decimal place.)

l / w = w / (l - w)

l = _____ feet

Answer provided by our tutors

l / w = w / (l - w)

l / 30 = 30/ (l - 30)

By Cross multiplication

 

 l(l-30)=30*30.

l^2-30l-900=0.

Solving quadartic l=48.54 m.