Mathematical Puzzles
Expert
2 min
A square has the same perimeter as a rectangle measuring 14 cm by 6 cm. What is the area of the square?
Hint
Find the rectangle perimeter first.
Answer
100 cm².
Explanation
The rectangle perimeter is 2 × (14 + 6) = 40 cm. A square with perimeter 40 cm has side 10 cm, giving an area of 100 cm².
Step-by-Step Solution
Rectangle perimeter = 2 × (14 + 6) = 40 cm
Square side = 40 ÷ 4 = 10 cm
Area = 10 × 10 = 100 cm²
Square side = 40 ÷ 4 = 10 cm
Area = 10 × 10 = 100 cm²