The top of a rectangular dining room table is twice as long as it is wide. dimensions of the table if the area is 72 ft^2

the table is_____ft wide and ______ ft. long.

PLEASE HELP

length is twice the width

L = 2W

area is length times width.
72 = (2w(w)
72 = 2w^2
divide both sides by 2 to get 36 and then take the square root of 36 to find "w". double that value to find the length. Check by multiplying l times w to see if you get 72.

To find the dimensions of the table, we need to use the information given about the area and the relationship between the length and width.

Let's assume that the width of the table is x ft. Therefore, according to the given information, the length would be 2x ft.

The formula for the area of a rectangle is length times width. In this case, we have the area as 72 ft^2. So we can set up the equation:

Area = Length * Width
72 = 2x * x

Now we can solve this equation to find the width of the table.

First, let's simplify the equation:

72 = 2x^2

Next, divide both sides of the equation by 2:

36 = x^2

To solve for x, we need to square root both sides of the equation:

√36 = √(x^2)
6 = x

Therefore, the width of the table is 6 ft.

To find the length, we multiply the width by 2:

Length = 2 * 6 = 12 ft.

So, the table is 6 ft wide and 12 ft long.