Topic: Aptitude/Ability Test
What is the maximum area of the rectangle with perimeter 620 mm?
- A. $24,025~mm^{2}$
- B. $22,725~mm^{2}$
- C. $24,000~mm^{2}$
- D. $24,075~mm^{2}$
Answer: A. $24,025~mm^{2}$
Explanation: For a given perimeter, a rectangle covers the maximum area when it is a square.
Let the side of the square be $s$. Perimeter $= 4s = 620$ mm.
$s = \frac{620}{4} = 155$ mm.
Maximum Area $= s^2 = 155 \times 155 = 24,025 \text{ mm}^2$.