Question

If the sides of a rectangle are 12 cm, 16 cm, then the length of diagonal is ______.

Options

• 18 cm

• 20 cm

• 24 cm

• 22 cm

Answer 1

If the sides of a rectangle are 12 cm, 16 cm, then the length of diagonal is 20 cm.

Explanation:

Given, Length = 16 cm, Breadth = 12 cm

In a rectangle, the diagonal forms a right-angled triangle with the length and breadth.

So, Diagonal² = Length² + Breadth²

= 16² + 12²

= 256 + 144

= 400

Taking square root on both sides,

Diagonal = `sqrt(400)`

= 20 cm