SOLUTION: Sasha wants to create a rectangular picture frame for her mom's birthday. The ratio of the dimension of the picture frame is 3:4ϕ(1.618) based on its length and width, respectivel

Algebra ->  Rectangles -> SOLUTION: Sasha wants to create a rectangular picture frame for her mom's birthday. The ratio of the dimension of the picture frame is 3:4ϕ(1.618) based on its length and width, respectivel      Log On


   



Question 1174574: Sasha wants to create a rectangular picture frame for her mom's birthday. The ratio of the dimension of the picture frame is 3:4ϕ(1.618) based on its length and width, respectively, and where ϕ(Golden Ration/1.618) is the Golden Ratio. Give at least 3 pairs of values for the length and width of the picture frame that matches the same ratio given above, and write a paragraph proof for your chosen pairs of value for the rectangular picture frame.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

The general formula for the dimensions is


    the width (same as the height)  is  3*1.618*x

    the length                      is  4*1.618*x


where x can be any real POSITIVE number, including integer numbers, rational numbers or irrational numbers.


Giving "x" arbitrary values on your choice, you will get respective values for the length and the width.


So, with the given instructions, you have a happy opportunity to practice and exercise without borders.


Happy practice and happy exercises (!)