Area of rhombus =½×d1 ×d2
so ½×140 = 70
so 70 cm² is the area of rhombus

Understanding the Rhombus
A rhombus is a type of polygon that is a quadrilateral (four sides) with all sides having equal length. One of the key characteristics of a rhombus is that its diagonals bisect each other at right angles.
Area Calculation of the Rhombus
The area of a rhombus can be calculated using the lengths of its diagonals. The formula is:
- Area = (d1 × d2) / 2
Where:
- d1 = length of the first diagonal
- d2 = length of the second diagonal
Given Values
- Length of the first diagonal (d1) = 14 cm
- Length of the second diagonal (d2) = 10 cm
Step-by-Step Calculation
1. Substitute the values into the formula:
Area = (14 cm × 10 cm) / 2
2. Calculate the product of the diagonals:
14 cm × 10 cm = 140 cm²
3. Divide by 2:
Area = 140 cm² / 2 = 70 cm²
Final Area
- The area of the rhombus is 70 cm².
Conclusion
The area of the rhombus, given its diagonals of lengths 14 cm and 10 cm, is 70 square centimeters. This formula is efficient and useful for quick calculations involving rhombuses. For more detailed exploration of geometric figures, consider visiting EduRev.