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Answer :
Final answer:
Parker would need 3600 inches of thread to sew the edges of the 12 pentagons and 20 hexagons together to make the pillow.
Explanation:
The calculation of the total thread needed is based on understanding how many edges exist in the 12 pentagons and 20 hexagons. A pentagon has 5 edges and a hexagon has 6 edges. Therefore, the number of total edges that Parker needs to sew equals the number of pentagons multiplied by the number of edges in a pentagon, plus the number of hexagons multiplied by the number of edges in a hexagon.
This gives 12 pentagons * 5 edges/pentagon + 20 hexagons * 6 edges/hexagon = 60 + 120 = 180 edges.
Since it takes 20 inches of thread to sew each edge, the total amount of thread needed would be 180 edges * 20 inches per edge = 3600 inches.
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