Final answer:
Cheryl needs 24 Legos to complete the border.
Step-by-step explanation:
To find the number of Legos needed to complete the border, we need to calculate the perimeter of the square Lego mat. The problem states that the perimeter is 48 inches. Since each Lego piece is 1 inch long, there are 48 Legos needed for the entire perimeter. However, Cheryl only has enough to complete 2 sides of the mat, so we divide the total number of Legos needed by 2.
48 Legos ÷ 2 = 24 Legos
Therefore, the answer is 24 Legos (option b).
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