Rhombus — Area from Diagonals: The diagonals of a rhombus are 1 m and 1.5 m. Find the area of the rhombus (in m^2).

Introduction / Context:
A rhombus has perpendicular diagonals that bisect each other. Its area equals half the product of its diagonals. This problem emphasizes remembering and applying the rhombus area formula with consistent units (metres).

Given Data / Assumptions:

• d1 = 1 m
• d2 = 1.5 m
• Area A = (d1 * d2) / 2

Concept / Approach:
Use the direct formula for a rhombus area. No side or angle calculations are needed because the diagonals encapsulate the necessary geometry for area computation.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• 1.5 m^2 duplicates d1*d2 without halving.
• 0.375 m^2 halves twice (overcorrection).
• 0.9 m^2 is an unsupported estimate.

Common Pitfalls:

• Forgetting the division by 2 in the rhombus formula.

Final Answer:
0.75 m2.