Final answer:
To find the diagonal of Jake's picnic table, we apply the Pythagorean theorem, calculating a diagonal of approximately 12.6 feet. Therefore, the correct answer is D) 12.6 ft. This demonstrates the practical use of mathematics in determining dimensions.
Explanation:
Finding the Diagonal of a Rectangular Table
To find the length of the diagonal of a rectangular picnic table, we can use the Pythagorean theorem. This theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the diagonal, in this case) is equal to the sum of the squares of the lengths of the other two sides.
For Jake's picnic table, the sides are:
- Length = 12 feet
- Width = 4 feet
Using the Pythagorean theorem, we can represent the relationship as:
Diagonal² = Length² + Width²Plugging in the numbers:
- Diagonal² = 12² + 4²
- Diagonal² = 144 + 16
- Diagonal² = 160
Now we take the square root to find the diagonal:
- Diagonal = √160
- Diagonal ≈ 12.65 feet
Thus, the length of the diagonal of the table is approximately 12.6 feet. So, the correct answer is D) 12.6 ft. This information not only helps in calculating dimensions but also shows how math helps us understand geometric shapes in our everyday life!
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