What is the area of a rhombus with diagonals measuring 10 cm and 24 cm?

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Question: What is the area of a rhombus with diagonals measuring 10 cm and 24 cm?

Options:

Correct Answer: 120 cm²

Solution:

Area of a rhombus = (1/2) × d1 × d2 = (1/2) × 10 × 24 = 120 cm².

What is the area of a rhombus with diagonals measuring 10 cm and 24 cm?

What is the area of a rhombus with diagonals measuring 10 cm and 24 cm?

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 = (1/2) × d1 × d2.
Step 3: Substitute the values of the diagonals into the formula: Area = (1/2) × 10 cm × 24 cm.
Step 4: Calculate the product of the diagonals: 10 cm × 24 cm = 240 cm².
Step 5: Multiply by 1/2: (1/2) × 240 cm² = 120 cm².
Step 6: Conclude that the area of the rhombus is 120 cm².

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