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Answer:
<u>384 cm²</u>
Step-by-step explanation:
Property of rhombus :
- Diagonals of rhombus bisect each other and are perpendicular to each other
Given :
- Rhombus ABCD and its diagonals AC and BD bisect each other at O
- AC ⊥ BD
- AB = BC = CD = DA = 20 cm
- AC = 24 cm
Solving :
Area of the given rhombus is twice the Area of ΔABC formed by the given diagonal and two adjacent sides.
- 2 × 1/2 × OB × AC
- 24 × OB
- 24 × √AB² - AO²
- 24 × √20² - (AC/2)²
- 24 × √400 - 144
- 24 × √256
- 24 × 16
- <u>384 cm²</u>
