Question 262172: A rectangular table is six times as long a it is wide. If the area is 96 ft^2, find the length and the width of the table. Answer by kelsdf(2) (Show Source):
You can put this solution on YOUR website! Let x=width and 6x=length.
The area formula for a rectangle is length times width.
So x times 6x has to equal 96 ft^2.
x times 6x multipy to become 6x^2.
So then the equation would be 6x^2=96 ft^2.
You'd then divide both sides by 6 so it would look like: x^2=16ft^2.
Find the quare root of both sides to balance operations and end up with x=4ft.
So the width is 4 ft.
And you'd plug in the 4 on the 6x to get 24.
Check: 4 times 24 DOES equal 96.