The length is twice the width. Draw a bar model to see the perimeter units.
[[model:questions/solutions/q7548.png]]
• Let width = 1 unit, length = 2 units
• Perimeter = 2 × (length + width) = 2 × (2 units + 1 unit) = 2 × 3 units = 6 units
• 6 units → 42 cm → 1 unit → 42 ÷ 6 = 7 cm
• Width = 7 cm, Length = 2 × 7 = 14 cm
• Area = length × width = 14 × 7 = 98 cm²
The length is 14 cm and the area is 98 cm².
Check: Perimeter = 2×(14+7) = 2×21 = 42. ✓