The diagonal of a rectangle is 34 cm. If its breadth is 16 cm, find its :

(i) length

(ii) area

Given:

The diagonal of the rectangle is 34 cm.

The breadth of the rectangle is 16 cm.

Let the length of the rectangle be l cm.

By using Pythagoras theorem,

⇒ Diagonal² = Length² + Breadth²

⇒ (34)² = l² + (16)²

⇒ 1,156 = l² + 256

⇒ l² = 1,156 - 256

⇒ l² = 900

⇒ l = $\sqrt{900}$

⇒ l = 30 cm

Hence, the length of the rectangle is 30 cm.

(ii) As we know, the area of the rectangle = length x breadth

= 30 x 16 cm²

= 480 cm²

Hence, the area of the rectangle is 480 cm².