Question

Find the length of the diagonal of a rectangle with length 6 cm and breadth 8 cm.

• A. 10 cm
• B. 12 cm
• C. 14 cm
• D. 8 cm

Hint:

Remember: The length of the diagonal of a rectangle can be found using the Pythagorean theorem. It is the hypotenuse of a right triangle formed by the length and breadth.

Answer 1

The Correct Option is A

Step 1: Use the Pythagorean theorem For a rectangle, the diagonal \( d \) can be found using the Pythagorean theorem. The diagonal forms a right triangle with the length and breadth as the two perpendicular sides. The Pythagorean theorem states: \[ d^2 = l^2 + b^2 \] where \( l \) is the length, \( b \) is the breadth, and \( d \) is the diagonal. Step 2: Substitute the given values Given: - \( l = 6 \, \text{cm} \), - \( b = 8 \, \text{cm} \). Substitute these values into the formula: \[ d^2 = 6^2 + 8^2 = 36 + 64 = 100 \] \[ d = \sqrt{100} = 10 \, \text{cm} \] Answer: Therefore, the length of the diagonal is \( 10 \, \text{cm} \). So, the correct answer is option (1).