Multiple choice general knowledge

A rectangle has the dimensions of 14 cm x 10 cm. It's length is reduced by 'x' cm and it's breadth is increased by 'x' cm to make it a square. It's area changes by -

  1. 4

  2. 6

  3. 5

  4. 8
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A Correct answer
Explanation

Original rectangle area = 14 x 10 = 140 sq cm. New square side = (14-x) = (10+x), so x=2 and square side = 12 cm. New square area = 12 x 12 = 144 sq cm. Area change = 144 - 140 = 4 sq cm (increase, though the question says 'changes by' which is ambiguous about direction). The calculation yields 4 as the magnitude of change.

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