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A rhombus has diagonals of lengths 10 cm and 24 cm. What is its area?
A rhombus has diagonals of lengths 10 cm and 24 cm. What is its area?
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Practice Questions
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Q1
A rhombus has diagonals of lengths 10 cm and 24 cm. What is its area?
120 cm²
140 cm²
160 cm²
180 cm²
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Area = (d1 × d2)/2 = (10 cm × 24 cm)/2 = 120 cm².
Questions & Step-by-step Solutions
1 item
Q
Q: A rhombus has diagonals of lengths 10 cm and 24 cm. What is its area?
Solution:
Area = (d1 × d2)/2 = (10 cm × 24 cm)/2 = 120 cm².
Steps: 6
Show Steps
Step 1: Identify the lengths of the diagonals of the rhombus. Here, d1 = 10 cm and d2 = 24 cm.
Step 2: Use the formula for the area of a rhombus, which is Area = (d1 × d2) / 2.
Step 3: Substitute the values of the diagonals into the formula: Area = (10 cm × 24 cm) / 2.
Step 4: Calculate the product of the diagonals: 10 cm × 24 cm = 240 cm².
Step 5: Divide the result by 2 to find the area: 240 cm² / 2 = 120 cm².
Step 6: Conclude that the area of the rhombus is 120 cm².
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