a square shed has a floor area of 156.25m square. what is the length of the diagonal

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20-03-2018
Mathematics

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a square shed has a floor area of 156.25m square. what is the length of the diagonal

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Аноним Аноним · Answer 1 · 2018-03-20T06:53:01+01:00

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Given Information
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Square Area = 156.25m²

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Formula
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Area = Length x Length

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Find Length
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156.25 = Length x Length
156.25 = Length²
Length² = 156.25
Length = √156.25
Length = 12.5

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Formula
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a² + b² = c²

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Find Diagonal
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12.5² + 12.5² = c²
c² = 156.25 + 156.25
c² = 312.5
c = √312.5
c = 17.68m (nearest hundredth)

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Answer: The diagonal length is 17.68m
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