The length of a board is twice it's width, if it's perimeter is 3.60m, what is it's width in cm
2(w + 2w) = 360
To find the width of the board, we can start by setting up a system of equations based on the given information.
Let's assume that the width of the board is denoted by "w" (in meters).
We are given that the length of the board is twice its width, meaning the length can be represented as "2w" (in meters).
The perimeter is the sum of all sides of a shape. For a rectangle, the perimeter is given by the formula: P = 2l + 2w.
In this case, the perimeter of the board is 3.60 meters, so we can write the equation as:
3.60 = 2(2w) + 2w
Simplifying this equation, we get:
3.60 = 4w + 2w
Combining like terms:
3.60 = 6w
Now, we can solve for "w" by dividing both sides of the equation by 6:
w = 3.60 / 6
w = 0.60 meters
To convert this width to centimeters, we can multiply it by 100, since there are 100 centimeters in a meter:
w = 0.60 * 100
w = 60 cm
Therefore, the width of the board is 60 cm.
To find the width of the board in centimeters, let's follow these steps:
1. Convert the given length and perimeter from meters to centimeters since the answer is required in centimeters. Since 1 meter is equal to 100 centimeters, 3.60 meters would be equal to 360 centimeters.
2. Let's assume the width of the board as "w" cm. Since the length is twice the width, the length would be "2w" cm.
3. The perimeter of a rectangle is calculated by adding all four sides. In this case, the perimeter would be the sum of the length and width twice since opposite sides are equal.
Perimeter = 2(length + width)
360 = 2(2w + w)
4. Simplify the equation by distributing the 2:
360 = 2(3w)
5. Further simplify the equation by multiplying 2 and 3w:
360 = 6w
6. Now divide both sides of the equation by 6 to isolate w:
w = 360 / 6
w = 60 cm
Therefore, the width of the board is 60 cm.