Area of a rhombus from its diagonals Find the area (in cm²) of a rhombus whose diagonals are 25 cm and 20 cm.

Introduction / Context:Rhombus area equals half the product of its diagonals—one of the most direct area formulas for this quadrilateral. This avoids computing side or height.

Given Data / Assumptions:

• d1 = 25 cm
• d2 = 20 cm

Concept / Approach:Area = (d1 * d2) / 2. Substitute and compute exactly; no trigonometry is needed.

Step-by-Step Solution:

Verification / Alternative check:If needed, one can confirm by splitting the rhombus into four right triangles formed by the diagonals (which are perpendicular), summing their areas.

Why Other Options Are Wrong:500 doubles the correct area; 125 halves it; 200 is unrelated to (d1 * d2)/2 here.

Common Pitfalls:Forgetting the 1/2 factor is the most common mistake with this formula.

Final Answer:250