The lengths of the two diagonals of a rhombus are 5 cm and 12 cm. Find its area (in `cm^2` ).

Options

A. 30
B. 15
C. 60
D. 45

Explanation

To find the area of a rhombus when the lengths of its diagonals are given, we can use the formula:

**Area of a rhombus = (1/2) × d1 × d2**

Where:
- d1 = length of the first diagonal
- d2 = length of the second diagonal

**Step 1: Identify the lengths of the diagonals.**
- Given: d1 = 5 cm and d2 = 12 cm.

**Step 2: Substitute the values into the area formula.**
- Area = (1/2) × d1 × d2
- Area = (1/2) × 5 cm × 12 cm

**Step 3: Calculate the product of the diagonals.**
- 5 cm × 12 cm = 60 cm²

**Step 4: Multiply by 1/2.**
- Area = (1/2) × 60 cm² = 30 cm²

**Step 5: State the final answer.**
- The area of the rhombus is 30 cm².

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