SOLUTION: A RECTANGLEHAS A SQUARE CUT FROM IT. THE PART LEFT BEHIND (ANOTHER RECTANGLE) IS SIMILAR TO (THAT IS, SCALED VERSION OF) THE ORIGINAL RECTANGLE. IF THE BREADTH OF THE ORIGINAL RE

Algebra ->  Rectangles -> SOLUTION: A RECTANGLEHAS A SQUARE CUT FROM IT. THE PART LEFT BEHIND (ANOTHER RECTANGLE) IS SIMILAR TO (THAT IS, SCALED VERSION OF) THE ORIGINAL RECTANGLE. IF THE BREADTH OF THE ORIGINAL RE      Log On


   

Question 13807: A RECTANGLEHAS A SQUARE CUT FROM IT.
THE PART LEFT BEHIND (ANOTHER RECTANGLE) IS SIMILAR TO (THAT IS, SCALED VERSION OF) THE ORIGINAL RECTANGLE.
IF THE BREADTH OF THE ORIGINAL RECTANGLE IS 1 WHAT IS THE LENGTH (TO 3 DECIMAL PLACES)?
COULD YOU PLEASE HELP ME TO GO ABOUT ANSWERING THE ABOVE MATHS PROBLEM?
Answer by problems_solved(3) About Me  (Show Source):
You can put this solution on YOUR website!
dear friend
let this be the figure
|------|----|
|------|----|1
|------|----|
|--1---|-x--|

so the length of the original rectangle is 1+x and breadth is 1
so the length of the new rectangle is 1 and breadth is x]
so (1+x):1 =1:x
so solving this we get (x^2)+x+1=0
solve it by the formula x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ to get the ans