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 Solution
- The size of the square (side length) added to the pattern at
each step is given in this sequence.
Notice that the next square has side length equal to the sum
of the side lengths of the previous two squares.
1 + 1 = 2, 1 + 2 = 3, 2 + 3 = 5, 3 + 5 = 8, 5 + 8 = 13,
8 + 13 = 21, 13 + 21 = 34, 21 + 34 = 55
The tenth square in the pattern is a 55-inch square.
- The size of the rectangular quilt at each step is given in this
table.
Notice that the next rectangle at each step has one side the
same as the longer side of the previous rectangle, and the other
side equal to the sum of the length and width of the previous
rectangle.
Quincy's quilt (with ten squares in the pattern) is a rectangle
that measures 55 inches by 89 inches. Its area is 4895 square
inches (55 x 89 = 4895).
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