SOLUTION: I have been working on this and can't seem to get the answer can you help? A rectangular table is four times as long as it is wide. The area of the table is 100ft^2. I can only get

Algebra ->  Equations -> SOLUTION: I have been working on this and can't seem to get the answer can you help? A rectangular table is four times as long as it is wide. The area of the table is 100ft^2. I can only get      Log On


   

Question 317459: I have been working on this and can't seem to get the answer can you help? A rectangular table is four times as long as it is wide. The area of the table is 100ft^2. I can only get so far with it and keep getting the answer wrong. Can you show me how to do it so I can see where I am messing up.
Found 2 solutions by Fombitz, JBarnum:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a rectangle is,
1.A=L%2AW=100
"Four times long as wide"
2.L=4W
Substitute eq.2 in eq. 1,
L%2AW=100
%284W%29W=100
4W%5E2=100
Solve for W, then go back and solve for L using either equation.

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
LW=A
A=100
L=4W
%284W%29W=100
4W%5E2=100
sqrt%284W%5E2%29=sqrt%28100%29
2W=10 and 2W=-10
W=5 and W=-5
cant be negative
L=4%285%29
L=20
Check
20%2A5=100
correct