The length of a rectangle is twice its width. The perimeter of the rectangle is 126 feet. (Write the equation) i've already tried to divide 126 by two which gave me 63 but i didn't know what to do with the 63.
P = 2L + 2W
126 = 2(2W) + 2W
126 = 6W
21 = W
L = 2 * 21
L = 42
To solve this problem, let's start by assigning variables to the unknown quantities.
Let's say the width of the rectangle is represented by "w" (in feet). Since the length is twice the width, we can say the length is 2w.
The formula for the perimeter of a rectangle is given by the equation:
Perimeter = 2 * (length + width)
Substituting the values we have, the equation becomes:
126 = 2 * (2w + w)
Now, we can simplify the equation and solve for "w":
126 = 2 * (3w)
To isolate "w," divide both sides of the equation by 2:
63 = 3w
Finally, divide both sides of the equation by 3 to solve for "w":
w = 63 / 3
So, the width of the rectangle is 21 feet.