Alg 1
posted by Jane on .
A golden rectangle is 32 cm long. The ratio of length to width is (1 + sq rt 5)/2. What is the width of the rectangle in simplest radical form?
Please solve and explain. Thanks.

L = Length
W = Width
L / W = ( 1 + sqrt 5 ) / 2
Reciprocally :
W / L = 1 / [ ( 1 + sqrt 5 ) / 2 ]
W / L = 2 / [ ( 1 + sqrt 5 ) ] Multiply both sides by L
W = 2 L / 2 / [ ( 1 + sqrt 5 ) ]
W = 2 * 32 / [ ( 1 + sqrt 5 ) ]
W = 64 / [ ( 1 + sqrt 5 ) ]