Final answer:
The problem involves calculating the dimensions of a yard with a perimeter of 100 feet, where the length and width are equal. By dividing the perimeter by 4, we find that both the length and width are 25 feet.
Step-by-step explanation:
The student is asking about the dimensions of Nancy’s yard, given that the length and width are equal and the perimeter is 100 feet. To solve this, we first need to understand that the perimeter (P) of a rectangle is given by the formula P = 2l + 2w, where l is the length and w is the width. Since we're told the length and width are equal, we can say that l = w. Therefore, the formula simplifies to P = 4w. To find the width, we divide the perimeter by 4, which gives us w = P / 4 = 100 feet / 4 = 25 feet. Hence, both the length and width of the yard are 25 feet.