The lenght of a board is twice its width of its perimeter is 3.60m,what is the width in cm
2(w + 2w) = 360
Please send me the answer
Question
To find the width in centimeters, we first need to determine the actual measurements of the board in meters.
Let's assume the width of the board is represented by 'w'. Given that the length of the board is twice its width, we can say that the length is '2w'.
The formula for the perimeter of a rectangle is given by P = 2*l + 2*w, where 'l' represents the length and 'w' represents the width.
According to the problem, the perimeter of the board is 3.60 meters, so we can set up the equation as follows:
3.60 = 2*(2w) + 2*w
Simplifying this equation:
3.60 = 4w + 2w
Combining like terms:
3.60 = 6w
Now, divide both sides of the equation by 6:
3.60/6 = w
0.60 = w
So, the width of the board is 0.60 meters.
To convert meters to centimeters, multiply by 100 since there are 100 centimeters in a meter:
0.60 * 100 = 60
Therefore, the width of the board in centimeters is 60 cm.