Given that a room is shaped like a golden rectangle, and the length is 29 ft with the ratio of golden rectangle being (1+√5):2, thus the width of the room will be: ratio of golden triangle=(length if the room)/(width of the room) let the width be x thus plugging the values in the expression we get: 29/x=(1+√5)/2 solving for x we get: x/29=2/(1+√5) thus x=(29×2)/(1+√5) answer is: x=58/(1+√5) or byrationalizing the denominator by multiplying both the numerator and the denominator by (1-√5) 58/(1+√5)×(1-√5)/(1-√5) =[58(1-√5)]/1-5 =(58√5-58)/4
