Introduction / Context:
Page layout questions ask you to subtract margins from the total dimensions to find the printable/typing area, then express it as a percent of the full page area.
Given Data / Assumptions:
- Total page: 20 cm × 30 cm.
- Margins: 2 cm each side (left and right), 3 cm top and bottom.
- “Lengthwise” orientation does not change the arithmetic; it simply clarifies which side is treated as vertical.
Concept / Approach:
Usable width = total width − (left + right). Usable height = total height − (top + bottom). Usable area divided by total area × 100 gives the desired percentage.
Step-by-Step Solution:
Total area = 20 × 30 = 600 cm^2.Usable width = 20 − 2 − 2 = 16 cm.Usable height = 30 − 3 − 3 = 24 cm.Usable area = 16 × 24 = 384 cm^2.Percentage used = (384 / 600) × 100% = 64%.
Verification / Alternative check:
Quick ratio check: 16/20 = 0.8 and 24/30 = 0.8 ⇒ area factor 0.8 * 0.8 = 0.64 = 64%.
Why Other Options Are Wrong:
74%, 84%, and 94% would require different margin sizes or arithmetic; none match the correct 0.64 factor.
Common Pitfalls:
Subtracting margins only once instead of both sides (left and right; top and bottom).
Final Answer:
64%
Discussion & Comments