Step 1: Understand that the area of a rhombus can be calculated using the formula: Area = (1/2) × d1 × d2, where d1 and d2 are the lengths of the diagonals.
Step 2: Identify the values given in the problem. The area is 48 square cm and one diagonal (d1) is 8 cm.
Step 3: Substitute the known values into the area formula: 48 = (1/2) × 8 × d2.
Step 4: Simplify the equation. First, calculate (1/2) × 8, which equals 4. So, the equation becomes: 48 = 4 × d2.
Step 5: To find d2, divide both sides of the equation by 4: d2 = 48 / 4.
