SOLUTION: The legnth of a rectangular rug is twice its width. If the area of the rug is 450 square feet, find the length and width of the rug.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The legnth of a rectangular rug is twice its width. If the area of the rug is 450 square feet, find the length and width of the rug.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 600407: The legnth of a rectangular rug is twice its width. If the area of the rug is 450 square feet, find the length and width of the rug.
Answer by w_parminder(53) About Me  (Show Source):
You can put this solution on YOUR website!
Let width of rectangle = X feet
So its length = 2X
Using the formula (Length*Width) = Area, we get
2X*X = 450
i.e. %28+2X%5E2+%29=+%28450+%29
i.e. %28+X%5E2+%29=%28+450+%29%2F2
i.e. %28+X%5E2+%29=%28+225+%29
so X=%28+sqrt%28225%29%29
OR X = 15
So the width of rectangle = X = 15 feet
& its length = 2X = 2*15 = 30 feet