The diagonals of a rhombus bisect each other at right angles. Use this fact to find the area of a rhombus whose diagonals are of length 8 cm and 6 cm.

To find the area of a rhombus using the lengths of its diagonals, you can use the formula:

Area Formula

The area \( A \) of a rhombus can be calculated with the formula:

A = (d1 × d2) / 2

where \( d1 \) and \( d2 \) are the lengths of the diagonals.

Given Values

• Diagonal 1 (d1) = 8 cm
• Diagonal 2 (d2) = 6 cm

Calculating the Area

Now, substitute the values into the formula:

A = (8 cm × 6 cm) / 2

Calculating this gives:

A = 48 cm² / 2

A = 24 cm²

Final Result

The area of the rhombus is 24 square centimeters.