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a farmer wanted to put up a fence for his goats. the area needed for th…

Question

a farmer wanted to put up a fence for his goats. the area needed for the goats is 361 square feet. how many feet of fencing does he need for this area if it is a square?

Explanation:

Step1: Find the side length of the square

The area formula of a square is \(A = s^{2}\), where \(A\) is the area and \(s\) is the side - length. Given \(A=361\) square feet, then \(s=\sqrt{361}\). Since \(19\times19 = 361\), so \(s = 19\) feet.

Step2: Calculate the perimeter of the square

The perimeter formula of a square is \(P=4s\). Substitute \(s = 19\) into the formula, we get \(P=4\times19\).

Answer:

76