Discussion

Question:

What is the length of the diagonal of a rectangle with an area 48 cm² and one of its sides as 6 cm?

Explanation:

Opposite sides of a rectangle are equal in length.

∴ AD = BC = 6 cm and AB = CD

Area of a rectangle, A = Length × Breadth

∴ 48 = 6 × CD

∴ CD = 8 cm

∴ AB = CD = 8 cm

A rectangle has all interior angles as right angles i.e. 90°.

In ∆BCD, m∠BAD = 90°

Using Pythagoras theorem, we have,

AB² + AD² = BD²

∴ BD² = 6² + 8²

∴ BD = 10 cm

Hence, option (a).

» Your doubt will be displayed only after approval.