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Area of a square = side2

Square A area = a2

Square B area = (4a)2

(4a)(4a) = 16a2

The area of square B is sixteen times the area of square A.

Proof:

Side of square A = 2 inches

Side of square B = (4*2) = 8 inches

Area of A = 22 = 4 square inches

Area of B = 82 = 64 square inches

64 / 4 = 16

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Q: How many times greater is the area of square b than the area of square a if one side of b is four times the length of one side of square a?
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