If you have not yet done so, read the Blitzer Bonus on. In this exercise, you will use the...

If you have not yet done so, read the Blitzer Bonus on. In this exercise, you will use the golden rectangles shown to obtain an exact value for Ф, the ratio of the long side to the short side in a golden rectangle of any size.

Golden Rectangle A

a. The golden ratio in rectangle A, or the ratio of the long side to the short side, can be modeled by . Write a fractional expression that models the golden ratio in rectangle B

b. Set the expression for the golden ratio in rectangle A equal to the expression for the golden ratio in rectangle B. Multiply both sides of the equation by the least common denominator and solve the resulting quadratic equation using the quadratic formula. Express Φ as an exact value in simplified radical form.

c. Use your solution from part (b) to complete this statement: The ratio of the long side to the short side in a golden rectangle of any size is ____________ to 1.