If the diagonals of a rhombus are equal to the sides of a rectangle, then area of the rectangle is:

twice the area of the rhombus

If the diagonals of a rhombus are equal to the sides of a rectangle, then area of the rectangle is twice the area of the rhombus.

Example,

Let the diagonals of the rhombus = 5cm and 15 cm

Then its area will be = \(\frac{1}{2}\) × d₁ × d₂

= \(\frac{1}{2}\) × 5 × 15 = 37.5 cm²

Now we know that the length of the diagonal of the rhombus is equal to the sides of a rectangle,

So the length = 15cm

and breadth = 5 cm

area of the rectangle = 5 × 15 = 75 cm²

Now we can clearly see that the area of the rectangle is double that of the rhombus.