Area of a square plot is 2304 . Find the side of the square plot.

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48 m

33.9 m

39.9 m

42 m

answer is A.

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Detailed Solution

Concept-
Knowing the relationship between the square's area and side length is necessary to answer this question. The equation

provides the area of a square with side "s" meters. Using this relationship, we can calculate the square's side as

m. If

, then

gives the square root of d. We must factor the number 2304 into prime numbers and divide the powers of the prime numbers by two to obtain the square root of the number.
To respond to this question, it is vital to understand how the area and side length of a square relate to one another. The area of a square with side "s" meters is given by the equation

This relationship allows us to determine the side of the square as s=2304

gives the square root of d if

. To find the square root of the number, we must factor the number 2304 into prime numbers and divide the powers of the prime numbers by two.

To determine the value of s, we must determine the square root of 2304. Finding the square root of 2304 using factorization yields

Therefore, the side's length is 48 meters.
Hence, the correct answer is 1) 48m

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