Question

If the length of a side of a rectangle is 12 cm and its diagonal is 13 cm, find its area.

• A. 26 $c{m}^2$
• B. 30 $c{m}^2$
• C. 60 $c{m}^2$
• D. 156 $c{m}^2$

Answer 1

The correct option is C 60 $c{m}^2$

Two adjacent sides and the diagonal of a rectangle forms a right triangle with the diagonal as the hypotenuse.
Given that one of the sides is 12 cm.
The other side is $\sqrt{{13}^2-{12}^2}=\sqrt{25}=5cm$
$So,area=12\times 5=60c{m}^2$