Evalute "the length of a ractangle is twice its width. The perimeter of the ractangle is 126.
so, if the width is w,
2(w + 2w) = 126
w = 21
To evaluate the length and width of the rectangle, we can set up a system of equations based on the given information.
Let's say the width of the rectangle is "w". According to the given statement, the length of the rectangle is twice its width, so the length would be "2w".
The perimeter of a rectangle is the sum of all sides, which in this case would be twice the length plus twice the width:
Perimeter = 2(L + W)
Given that the perimeter of the rectangle is 126, we can substitute the values we know into the equation:
126 = 2(2w + w)
Now, we can simplify and solve for "w":
126 = 2(3w)
126 = 6w
w = 21
Therefore, the width of the rectangle is 21 units. Since the length is twice the width, the length would be 2 times 21, which equals 42 units.
So, the width of the rectangle is 21 units and the length is 42 units.