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A rhombus has diagonals of lengths 12 cm and 16 cm. What is the area of the rhom
A rhombus has diagonals of lengths 12 cm and 16 cm. What is the area of the rhombus?
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Practice Questions
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Q1
A rhombus has diagonals of lengths 12 cm and 16 cm. What is the area of the rhombus?
96 cm²
48 cm²
72 cm²
60 cm²
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Area of a rhombus = (1/2) × d1 × d2. Thus, Area = (1/2) × 12 × 16 = 96 cm².
Questions & Step-by-step Solutions
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Q
Q: A rhombus has diagonals of lengths 12 cm and 16 cm. What is the area of the rhombus?
Solution:
Area of a rhombus = (1/2) × d1 × d2. Thus, Area = (1/2) × 12 × 16 = 96 cm².
Steps: 6
Show Steps
Step 1: Identify the lengths of the diagonals of the rhombus. Here, d1 = 12 cm and d2 = 16 cm.
Step 2: Use the formula for the area of a rhombus, which is Area = (1/2) × d1 × d2.
Step 3: Substitute the values of the diagonals into the formula: Area = (1/2) × 12 × 16.
Step 4: Calculate the product of the diagonals: 12 × 16 = 192.
Step 5: Now, multiply by 1/2: (1/2) × 192 = 96.
Step 6: Therefore, the area of the rhombus is 96 cm².
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