What is the area of a rhombus when its diagonals are 6 cm and 8 cm?

Calculating the Area of a Rhombus

The area of a rhombus can be calculated using the lengths of its diagonals. The formula for the area (A) of a rhombus when the lengths of the diagonals (d₁ and d₂) are known is:

A = (d₁ × d₂) / 2

In this case, the lengths of the diagonals are:

• d₁ = 6 cm
• d₂ = 8 cm

Now, substituting the values into the formula:

A = (6 cm × 8 cm) / 2

A = (48 cm²) / 2

A = 24 cm²

Therefore, the area of the rhombus is 24 cm².