Multiple choice general knowledge math & puzzles

The length of a rectangle is (x + y) cm and the breadth is (x - y) cm. If y = 2t + 28, where t is the negative square root of 36, find the area of the rectangle.

  1. (x^2 + 256) cm^2

  2. None of these

  3. (2x) cm^2

  4. (x^2 - 256) cm^2
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The negative square root of 36 is -6. Thus, t = -6. Substituting into y = 2t + 28 gives y = 2(-6) + 28 = 16. Area = (x+y)(x-y) = x^2 - y^2. Substituting y=16 gives x^2 - 256.

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