A square field of area 31684 m2 is to be enclosed with the wire placed at…

2024

A square field of area 31684 m2 is to be enclosed with the wire placed at height 1 m, 2 m, 3 m, 4 m above the ground. What length of the wire will be required if its length required for each circuit is 5% greater than the perimeter of the field?

  1. A.

    6456 m

  2. B.

    27666 m

  3. C.

    2990.4 m

  4. D.

    4666.5 m

Attempted by 7 students.

Show answer & explanation

Correct answer: C

Solution:

  1. Compute the side length from the area: side = sqrt(31684) = 178 m

  2. Find the perimeter: perimeter = 4 × 178 = 712 m

  3. Each circuit is 5% greater than the perimeter: length per circuit = 712 × 1.05 = 747.6 m

  4. There are four circuits (wires at heights 1 m, 2 m, 3 m, 4 m), so total length = 4 × 747.6 = 2990.4 m

Answer: 2990.4 m

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