Question

Find the length of the diagonal of a rectangle whose length is 35 cm and breadth is 12 cm.

Hint:

The diagonal of a rectangle can always be found using the Pythagoras theorem.

Answer 1

Step 1: Recall the formula for the diagonal of a rectangle.
The diagonal $d$ of a rectangle is given by: \[ d = \sqrt{l^2 + b^2} \] where $l$ = length and $b$ = breadth.
Step 2: Substitute the given values.
\[ d = \sqrt{35^2 + 12^2} \] \[ d = \sqrt{1225 + 144} \] \[ d = \sqrt{1369} \] \[ d = 37 \, \text{cm} \]
Step 3: Conclusion.
Hence, the length of the diagonal is 37 cm.
Correct Answer: 37 cm