A vineyard has 145 acres of Chardonnay grapes. A particular soil supplement requires 5.50 grams for every square meter of vineyard. How many kilograms of the soil supplement are required for the entire vineyard? Given that 1 km2 = 247 acres. Express your answer in kilograms to three significant figures.

Question

Gracelyn Rios

Mathematics

26 August, 12:51

A vineyard has 145 acres of Chardonnay grapes. A particular soil supplement requires 5.50 grams for every square meter of vineyard. How many kilograms of the soil supplement are required for the entire vineyard? Given that 1 km2 = 247 acres. Express your answer in kilograms to three significant figures.

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Kaylah Benson · Answer 1

To find square meters convert 145 acres. Using 1km2 = 247 acres you can do 145/247 to get. 587 of a km. You know that there are a thousand meters in a km so multiply. 587 x 1000 = 587 meters. So there are 587 square meters in the vineyard. Each square meter requires 5.5 grams of supplements so 587 x 5.5 grams gives you 3228.5 grams. There are a thousand grams in a kilogram so divide 3228.5 grams / 1000 kg to get your final answer of 3.2285 kg, with three sig figs it rounds off to 3.23 kg.