SOLUTION: The so-called golden rectangle is said to be extremely pleasing visually and was used often by ancient Greek and Roman architects. The length of a golden rectangle is approximately

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: The so-called golden rectangle is said to be extremely pleasing visually and was used often by ancient Greek and Roman architects. The length of a golden rectangle is approximately      Log On


   

Question 172940This question is from textbook Introductory Algebra
: The so-called golden rectangle is said to be extremely pleasing visually and was used often by ancient Greek and Roman architects. The length of a golden rectangle is approximately 1.6 times the width. Find the dimensions of a golden rectangle if its area is 9000 m^2. This question is from textbook Introductory Algebra

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

We know, A%5BR%5D=L%2AW
But, L=1.6W
So,
9000m%5E2=1.6W%28W%29
9000m%5E2=1.6W%5E2 -------->cross%289000%295625%2Fcross%281.6%29=cross%281.6%29W%5E2%2Fcross%281.6%29
W=sqrt%285625%29
highlight%28W=75m%29
Also, L=1.6%2875%29=highlight%28120m%29
Check,
9000m%5E2=%28120%29%2875%29
9000m%5E2=9000m%5E2
Thank you,
Jojo