If the long side of a golden rectangle is 25 cm, what is the area of the rectangle? Round your answer to the nearest tenth, if necessary.

Question

mathstudent55 · Answer

Do you know what a golden rectangle is?

anonymous · Answer

noo not exactly

mathstudent55 · Answer

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mathstudent55 · Answer

For the rectangle above to be a golden rectangle, the sides have to be in the golden ratio.

mathstudent55 · Answer

If you take a square out of the original rectangle, you get a new rectangle.
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mathstudent55 · Answer

If you take a square out of the original rectangle, you get a new rectangle.
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mathstudent55 · Answer

If the lengths of the sides of the original rectangle are in the golden ratio, then the lengths of the sides of the new rectangle (after taking out the square) are also in the golden ratio.

mathstudent55 · Answer

By working out the math, the golden ratio is:

$\dfrac{1 + \sqrt 5}{2} : 1$

or approximately

1.618:1