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soldier1979 [14.2K]
4 years ago
10

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

Mathematics
1 answer:
Helen [10]4 years ago
8 0
------------------------------------------------------------------
Given Information
------------------------------------------------------------------
Square Area = 156.25m²

------------------------------------------------------------------
Formula
------------------------------------------------------------------
Area = Length x Length

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

------------------------------------------------------------------
Formula
------------------------------------------------------------------
a² + b² = c²

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

------------------------------------------------------------------
Answer: The diagonal length is 17.68m
------------------------------------------------------------------
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