What is the length of the diagonal of a rectangle with length 6 and width 8?

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Question: What is the length of the diagonal of a rectangle with length 6 and width 8?

Options:

Correct Answer: 10

Solution:

Using the Pythagorean theorem: d = √(length² + width²) = √(6² + 8²) = √(36 + 64) = √100 = 10.

What is the length of the diagonal of a rectangle with length 6 and width 8?

What is the length of the diagonal of a rectangle with length 6 and width 8?

Step 1: Identify the length and width of the rectangle. Here, the length is 6 and the width is 8.
Step 2: Recall the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (d) is equal to the sum of the squares of the other two sides.
Step 3: Set up the formula using the length and width: d = √(length² + width²).
Step 4: Substitute the values into the formula: d = √(6² + 8²).
Step 5: Calculate the squares: 6² = 36 and 8² = 64.
Step 6: Add the squares together: 36 + 64 = 100.
Step 7: Take the square root of the sum: d = √100.
Step 8: Calculate the square root: √100 = 10.
Step 9: Conclude that the length of the diagonal of the rectangle is 10.

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