a square-shaped table and its perimeter is 480cm. Calculate the area of this table, in square meters, in SI, CGS and FPS units

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Answer to a math question a square-shaped table and its perimeter is 480cm. Calculate the area of this table, in square meters, in SI, CGS and FPS units

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P = 4s \Rightarrow 480 = 4s \Rightarrow s = \frac{480}{4} = 120 \; \text{cm}

A = s^2 \Rightarrow A = 120^2 = 14400 \; \text{cm}^2

A_{SI} = 1.44 \; \text{m}^2 \quad (\text{since} \; 1 \; \text{m}^2 = 10^4 \; \text{cm}^2)

A_{CGS} = 1.44 \times 10^{4} \; \text{cm}^2

A_{FPS} = \frac{14400}{929.0304} \approx 15.5 \; \text{ft}^2 \quad (\text{since} \; 1 \; \text{ft}^2 = 929.0304 \; \text{cm}^2)

Answer:

A_{SI} = 1.44 \; \text{m}^2

A_{CGS} = 1.44 \times 10^{4} \; \text{cm}^2

A_{FPS} = 15.5 \; \text{ft}^2

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