Another painting has length : width ratio approximately equal to the golden ratio (1 + sqrt 5) : 2. Find the length of the painting if the width is 34 inches?

55 inches

Step-by-step explanation:

Let L be the length of the painting. From the ratios,

1 + √5 : 2 = L : 34

(1 + √5)/2 = L/34

L = 34 × (1 + √5)/2

  = 34 × (1 + 2.236)/2

  =  17 × (3.236)

  = 55.012

  ≈ 55 inches

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

75

step-by-step explanation: