Calculate the Area of a Deltoid: Using 4 and 6 Unit Diagonals

Given the deltoid ABCD

Find the area

To find the area of deltoid $ABCD$, we will use the known formula for the area of a deltoid based on its diagonals. Let's perform the calculation step-by-step:

• Step 1: Identify the diagonals
  From the problem, the diagonals are given as 4 cm and 6 cm.
• Step 2: Apply the area formula
  The area of a deltoid is calculated using the formula: $A = \frac{1}{2} \times d_1 \times d_2$
• Step 3: Calculate the area
  Substitute the diagonal lengths into the formula: $A = \frac{1}{2} \times 4 \times 6$
• $A = \frac{1}{2} \times 24 = 12$ cm²

Thus, the area of deltoid $ABCD$ is $\mathbf{12}$ cm².