Final answer:
Miss Jones needs approximately 7.2 feet of ribbon to bisect her 4 by 6 feet board diagonally from one corner to the opposite corner.
Step-by-step explanation:
The student is asking a question related to the concept of measuring diagonals in geometry. The question refers to finding the length of a diagonal ribbon needed to bisect a 4 feet by 6 feet board. To solve this, we use the Pythagorean theorem which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, the hypotenuse is the diagonal of the board on which the ribbon will be placed.
The length and width of the board serve as the two sides of a right triangle. Therefore, we can calculate the hypotenuse using the formula:
- Diagonal (d) = √(length^2 + width^2)
Substituting the given length and width (4 feet and 6 feet) into the formula, we get:
d = √(4^2 + 6^2)
d = √(16 + 36)
d = √52
d ≈ 7.2 feet
Therefore, Miss Jones needs approximately 7.2 feet of ribbon to bisect her 4 by 6 feet board from one corner to its opposite corner.