Parallelogram — One side is 8.06 cm and the perpendicular distance to the opposite side is 2.08 cm. Find the approximate area.

Introduction / Context:The area of a parallelogram equals base * corresponding altitude (perpendicular distance). This avoids any need for angles or other sides when one side and its altitude are known.

Given Data / Assumptions:

• Side (base) = 8.06 cm
• Altitude = 2.08 cm
• Area formula: A = base * altitude

Concept / Approach:Multiply the given base by the perpendicular distance to get area; then round to two decimal places as the options are approximate.

Step-by-Step Solution:A = 8.06 * 2.08 = 16.7648 cm2 ≈ 16.76 cm2

Verification / Alternative check:Units check: cm * cm = cm2; the magnitude fits between 8*2 = 16 and 8.5*2.1 ≈ 17.85, so 16.76 is sensible.

Why Other Options Are Wrong:12.56, 14.56, 18.06, 22.56 cm2 stem from multiplying by the wrong dimension or misplacing decimals.

Common Pitfalls:Using slanted height instead of perpendicular altitude; forgetting to align side with its corresponding altitude.

Final Answer:16.76 cm2