Question

A golden 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.

Answer 1

Answer: 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