Of rug has a length that is two times its width. The area of the rug is 8 square feet. What is the length And width of the rug?
w(2w)=8
6.3
Let's assume the width of the rug is x.
Since the length of the rug is two times its width, the length would be 2x.
The area of the rug can be calculated by multiplying its length and width: Area = Length x Width.
So, in this case, the equation would be: 8 = (2x) * (x).
To solve the equation, let's simplify it:
8 = 2x^2.
Dividing both sides of the equation by 2, we get:
4 = x^2.
Taking the square root of both sides of the equation, we get:
2 = x.
So, the width of the rug is 2 feet.
Since the length is two times the width, the length would be 2 * 2 = 4 feet.
Therefore, the length of the rug is 4 feet, and the width is 2 feet.
To find the length and width of the rug, we can use the information given that the length is two times the width and the area of the rug is 8 square feet.
Let's set up an equation to represent the problem. Let's assume the width of the rug is x. Since the length is two times the width, the length would be 2x.
The formula for the area of a rectangle is length multiplied by width. So, we have:
Area = Length × Width
8 = (2x) × x
Now, we can solve this equation:
8 = 2x^2 (By multiplying 2x with x)
4 = x^2 (By dividing both sides by 2)
2 = x (By taking the square root of both sides)
Therefore, the width of the rug is 2 feet.
Now, we can find the length by multiplying the width by 2:
Length = 2 × Width = 2 × 2 = 4 feet
So, the length of the rug is 4 feet and the width is 2 feet.