Multiple choice

If the perimeter of a rectangular plot is $34$ metres and its area is $60$ square metres, what is the length of each of the shorter side?

  1. $10$ m
  2. $17$ m
  3. $15$ m
  4. $5$ m
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D Correct answer
Explanation

Perimeter = 2(L+W) = 34, so L+W = 17. Area = L*W = 60. The numbers that add to 17 and multiply to 60 are 12 and 5. The shorter side is 5.

AI explanation

Let the length be L and the width be W. The perimeter formula gives 2(L + W) = 34, so L + W = 17, and the area formula gives L * W = 60. Solving the quadratic equation x^2 - 17x + 60 = 0 yields the roots 12 and 5. The length of the shorter side is 5 m. The result is 5 m.

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