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Answer :
Option c. Shannon's rectangular countertop has an area of 1,536 square inches, and each tile covers 16 square inches. Therefore, 96 tiles are needed to cover the countertop.
First, calculate the area of the countertop in square inches:
Length = 64 inches
Width = 24 inches
Area = Length × Width = 64 inches × 24 inches = 1,536 square inches
Next, determine the area of one tile:
Each tile covers a 4-inch-by-4-inch region:
Area of one tile = 4 inches × 4 inches = 16 square inches
Now, to find the minimum number of tiles required:
Number of tiles = Total area of the countertop / Area of one tile
Number of tiles = 1,536 square inches / 16 square inches per tile = 96 tiles
Therefore, option c. 96 is the correct answer.
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