Area from the perimeter — Mensuration Aptitude Question
Area from the perimeter: The perimeter of a square is 64 cm. What is its area? Answer and worked solution on CodeKairo.
- Topic: Mensuration
- Section: Quantitative Aptitude
- Difficulty: Easy
- Time target: 45 seconds
Question
The perimeter of a square is 64 cm. What is its area?
Options
- 196 cm²
- 225 cm²
- 256 cm²
- 289 cm²
Show the answer and the worked solution
Correct answer: C. 256 cm²
Worked solution
- Side = 64 ÷ 4 = 16 cm.
- Area = 16² = 256 cm².
Answer: 256 cm².
The idea
Route through the side length. Every measurement of a square follows from it.
Shortcut. The side is 16 and 16² ends in 6, leaving 196 or 256; 196 is 14², so the area is 256 cm².
Common trap. "196 cm²" — the other option ending in 6, so a units-digit check alone does not remove it; it is 14², the square of the wrong side.