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

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

Options:

Correct Answer: 10 units

Solution:

The length of the diagonal d of a rectangle is given by d = √(length² + width²). Here, d = √(6² + 8²) = √(36 + 64) = √100 = 10 units.

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

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

Step 1: Identify the length and width of the rectangle. The length is 6 units and the width is 8 units.
Step 2: Use the formula for the diagonal of a rectangle, which is d = √(length² + width²).
Step 3: Substitute the values into the formula: d = √(6² + 8²).
Step 4: Calculate 6², which is 36.
Step 5: Calculate 8², which is 64.
Step 6: Add the results from Step 4 and Step 5: 36 + 64 = 100.
Step 7: Take the square root of 100: √100 = 10.
Step 8: Conclude that the length of the diagonal is 10 units.

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