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Find the length of the side of a square whose area is 144m².Find the dimension of a
rectangle whose area is same as that of this square.
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The formula for the area A of a square is: A = s², where s equals the length of one of the 4 congruent sides of the square. For sides to be congruent, they have the same length.
Since we're given that A = 144 sq. m. (m²), then we can substitute into the area formula for a square and sol for s as follows:
A = s²
144 m² = s²
Now, taking the square root of both sides, we get:
±√(144 m²) = √s²
12 m = s
(Note: The positive square root was chosen since you obviously cannot have a negative length!)
Therefore, the length s of one of the 4 congruent sides of a square whose area is 144 square meters is 12 meters.
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