Discussion

The area of a square is equal to five times the area of a rectangle of dimensions 125 cm * 64 cm. What is the perimeter of the square?

Answer: B

\[ \text{rectangle} = 125 \times 64 = 8000 \text{ cm}^{2} \]

\[ \text{square} = 5 \times 8000 = 40{,}000 \text{ cm}^{2} \]

\[ \text{side} = \sqrt{40000} = 200 \text{ cm} \]

\[ \text{perimeter} = 4 \times 200 = 800 \text{ cm} \]

The question asks for the perimeter, so the square root must be multiplied by four - stopping at the side gives 200.

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