The area of the rhombus with diagonals of 12 cm and 5 cm is 30 square centimeters.
To find the area of a rhombus when the lengths of its diagonals are given, you can use the following formula:
Area = (d₁ × d₂) / 2
where d₁ and d₂ are the lengths of the diagonals.
Step 1: Identify the lengths of the diagonals.
In this case, the length of the first diagonal (d₁) is 12 cm, and the length of the second diagonal (d₂) is 5 cm.
Step 2: Substitute the values of the diagonals into the formula.
Area = (12 × 5) / 2
Step 3: Calculate the product of the diagonals.
12 × 5 = 60
Step 4: Divide the product by 2 to find the area.
Area = 60 / 2
Step 5: Simplify to find the result.
Area = 30 cm²
So, the required area is 30 cm².