SOLUTION: AREA EQUALS 864. WIDTH IS 2/3 OF LENGTH. What are lenght and width?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: AREA EQUALS 864. WIDTH IS 2/3 OF LENGTH. What are lenght and width?       Log On


   

Question 737973:


AREA EQUALS 864. WIDTH IS 2/3 OF LENGTH. What are lenght and width?


Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
AREA=LW
W=2L/3
864=L(2L/3)
864=2L^2/3 CROSS MULTIPLY
2L^2=864*3
2L^2=2592
L^2=2592/2
L^2=1296
L=SQRT1296
L=36 ANS. FOR THE LENGTH.
W=2*36/3
W=72/3
W=24 ANS. FOR THE WIDTH.
PROOF:
864=36*24
864=864