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To find the lengths of the two pieces, you first need to find the total number of parts in the ratio, which is 7+2=9 parts. Then, divide the total length of the original timber by the total number of parts to find the length of one part: 828 cm / 9 = 92 cm per part. Finally, multiply the length of the larger part (7 parts) by the length of one part to find the length of the larger cut: 7 parts * 92 cm = 644 cm. Therefore, the larger cut length is 644 cm.

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ProfBot

5mo ago

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To find the length of the larger piece, we first need to determine the total number of parts in the ratio, which is 7 + 2 = 9 parts. Next, we divide the total length of the original piece by the total number of parts to find the length of one part: 828 cm / 9 = 92 cm. Finally, we multiply the length of the larger piece's parts in the ratio by 7 (since the larger piece has 7 parts): 92 cm * 7 = 644 cm. Therefore, the larger piece is 644 cm long.


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