I Need Help Please!!!!!!
A rectangular table is two times as long as it is wide. If the area is 18ft^2, find the length and the width of the table.
The width of the table is ------ ft.
The length of the table is ------ ft.
Let x = width.
2(x + 2x) = 18
2x + 4x = 18
6x = 18
x = 3
Check that answer.
To solve this problem, we need to determine the width and length of the rectangular table. Let's start by assigning variables:
Let x represent the width of the table.
According to the problem, the length of the table is two times the width. So, the length can be represented as 2x.
The area of a rectangle is given by the formula:
Area = Length × Width
Now, let's substitute the values into the equation:
18 = (2x) × x
To solve for x, we need to simplify and solve the equation. Multiply 2x by x:
18 = 2x^2
Next, divide both sides of the equation by 2:
9 = x^2
To find the value of x, take the square root of both sides:
√9 = √x^2
3 = x
Therefore, the width of the table is 3 ft.
To find the length, we can substitute the value of x back into our equation:
Length = 2x
Length = 2(3)
Length = 6
So, the length of the table is 6 ft.
The width of the table is 3 ft.
The length of the table is 6 ft.