Agolden rectangle is a rectangle whose length is approximately 1.6 times its width. the early greeks thought that a rectangle with these dimensions was the most pleasing to the eye and examples of the golden rectangle are found in many early works of art. for example, the parthenon in athens contains many examples of golden rectangles. mike hallahan would like to plant a rectangular garden in the shape of a golden rectangle. if he has 260 feet of fencing available, find the dimensions of the garden.

234

Step-by-step explanation:

A golden rectangle is a rectangle whose length is approximately 1.6 times its width.

Mike Hallahan would like to plant a rectangular garden in the shape of a golden rectangle.

If he has "234"* feet of fencing is available, find the dimensions of the garden. *Makes more sense.

:

let w = the width of the garden

then

1.6w = the length

:

2(1.6w) + 2w = 234

3.2w + 2w = 234

5.2w = 234

w = 234/5.2

w = 45 ft is the width

and

1.6(45) = 72 ft is the length

:

:

Check

2(72) + 2(45) =

144 + 90 = 234

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: