Final answer:
The rectangular field's dimensions are found by using the perimeter formula and the given condition that the length is twice the width. The calculations lead to the field being 100 yards long and 50 yards wide.
Step-by-step explanation:
To solve this problem, we first need to understand the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width of the rectangle. According to the question, the length is twice that of the width, so we can say l = 2w. Now, given that the perimeter is 300 yards, we can set up the following equation to find the dimensions:
- 300 = 2(2w) + 2w
- 300 = 4w + 2w
- 300 = 6w
- w = 50 yards
Since the length l is twice the width w, we find that:
- l = 2 × 50 yards
- l = 100 yards
The field's dimensions are 100 yards by 50 yards.