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Question
victor has been instructed to stack boxes on a freight dock, arranged in perfect squares. if he has 625 boxes in each square, how many boxes are on the bottom row of each square? 5 boxes 15 boxes 25 boxes 35 boxes
Step1: Recall the formula for the area of a square
The number of boxes in a perfect square is the square of the number of boxes on each side (bottom row). Let \( n \) be the number of boxes on the bottom row. Then the total number of boxes in the square is \( n^2 \).
Step2: Solve for \( n \)
We know the total number of boxes in each square is 625. So we set up the equation \( n^2 = 625 \). Taking the square root of both sides, we get \( n=\sqrt{625} \). Since \( 25\times25 = 625 \), \( \sqrt{625}=25 \).
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25 boxes (corresponding to the option "25 boxes")