Final answer:
To find the width and length of the rectangle, we used the perimeter formula and the given relationship between length and width. The width of the rectangle is 23.5 feet and the length is 47 feet, which are found by dividing the perimeter by the sum of the multipliers of width and then multiplying the width by 2 to find the length.
Step-by-step explanation:
The student asked for help with finding the dimensions of a rectangle given its perimeter and a relationship between its length and width. To find the dimensions of the rectangle, we can use algebra.
Firstly, we know the formula for the perimeter (P) of a rectangle is P = 2l + 2w, where l is the length and w is the width. Since we are given that the perimeter is 141 feet and the length is twice the width (l = 2w), we can set up the following equation:
141 = 2(2w) + 2w
Simplifying the equation, we get:
141 = 4w + 2w
141 = 6w
w = 141 / 6
w = 23.5 feet
Since the length is twice the width, the length (l) is:
l = 2 × 23.5 feet
l = 47 feet
Therefore, the dimensions of the rectangle are a width of 23.5 feet and a length of 47 feet.