SOLUTION: the length of the rectangle is 5 times its width if the area of the rectangle is 245 centimeters square what is its perimeter?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: the length of the rectangle is 5 times its width if the area of the rectangle is 245 centimeters square what is its perimeter?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 343469: the length of the rectangle is 5 times its width if the area of the rectangle is 245 centimeters square what is its perimeter?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
NEED TO KNOW:
AREA OF A RECTANGLE = L*W
QUESTION STATES THE FOLLOWING TO BE TRUE
L=5%28W%29 AND THAT THE AREA IS 245cm%5E%282%29
SUBSTIUTE FOR L IN AREA FORMULA: L%2AW=245cm%5E%282%29
5%28W%29%28W%29=245cm%5E%282%29
5W%5E%282%29=245cm%5E%282%29
SIMPLIFY:
DIVIDE BOTH SIDES OF THE EQUATION BY 5
W%5E%282%29=+49cm%5E%282%29
W=highlight%287cm%29
L=5%287%29
L=+highlight%2835cm%29
PERIMETER IS THE TOTAL LENGTH OF ALL SIDES
PERIMETER=+7%2B7%2B35%2B35
PERIMETER=highlight%2884cm%29