If the area of a square region having sides of length 6 centimeters is equal…
2024
If the area of a square region having sides of length 6 centimeters is equal to the area of a rectangular region having width 2.5 cm , then the length of the rectangle in cms is
- A.
8.5
- B.
9.6
- C.
10.5
- D.
14.4
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Correct answer: D
For two plane figures with equal area, equate their area formulas: Area of a square = side², Area of a rectangle = length × width.
Area of the square = 6 × 6 = 36 cm².
Let the length of the rectangle be L. Area of rectangle = L × 2.5.
Since both areas are equal: L × 2.5 = 36.
Solving for L: L = 36 ÷ 2.5 = 14.4 cm.
Verification: 14.4 × 2.5 = 36 cm², which equals the square's area, confirming L = 14.4 cm.