A 100 cm B Diagonal BD is 120cm. What is the area of the rhombus in hactares?
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Answer:
0.000096m2
Step-by-step explanation:
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A rhombus is a quadrilateral whose all sides are of equal length, and the opposite are parallel to each other. The area of the rhombus is equal to 9.6 × 10⁻⁵ hectares.
A rhombus is a quadrilateral whose all sides are of equal length, and the opposite are parallel to each other. It can also be said that a rhombus is a parallelogram with all the sides being equal.
4a² = d₁² + d₂²
4(100)² = d₁² + (120)²
4 × 10000 = d₁² + 14400
d₁² = 25600
d₁ = 160
Area of rhombus = ( d₁ × d₂) ÷ 2
= (120 × 160)/2
= 9600 cm²
Since 1 sq. cm is equal to 10⁻⁸ hectares. Therefore, the area of the rhombus will be,
Area = 9600 cm²
= 9600 × 10⁻⁸ hectares
= 9.6 × 10⁻⁵ hectares
= 0.000096 hectares
Hence, the area of the rhombus is equal to 9.6 × 10⁻⁵ hectares.
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