Answer:the length of the rectangle is 14 feet, and the width is 7 feet.
Step-by-step explanation:
Let's denote the width of the rectangle as \( w \) feet. Since the length is twice the width, we can express the length as \( 2w \) feet.
The perimeter \( P \) of a rectangle is given by the formula:
\[ P = 2 \times (\text{length} + \text{width}) \]
Given that the perimeter is 42 feet, we can write the equation:
42 = 2 times (2w + w)
Solving for (w):
42 = 2(3w)
42 = 6w
w = 42/6
w = 7 feet
So, the width of the rectangle is 7 feet.
Now, we can find the length:
Length = 2w = 2 times 7 = 14 feet
Therefore, the length of the rectangle is 14 feet, and the width is 7 feet.
