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Tina's office has an area of 8.2 m². Bill's office is 7100 cm² larger than Tina's office. What is the area of Bill's office? Give your answer in m².​

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Answer: To find the area of Bill's office, we need to determine the area that is 7100 cm² larger than Tina's office.

Step 1: Convert the area of Tina's office from square meters to square centimeters.

Since 1 square meter is equal to 10,000 square centimeters, we can convert the area of Tina's office from square meters to square centimeters by multiplying by 10,000.

Area of Tina's office in square centimeters = 8.2 m² * 10,000 = 82,000 cm²

Step 2: Calculate the area of Bill's office by adding 7100 cm² to Tina's office.

Area of Bill's office = Area of Tina's office + 7100 cm²

Area of Bill's office = 82,000 cm² + 7100 cm²

Step 3: Convert the area of Bill's office from square centimeters to square meters.

Since 1 square meter is equal to 10,000 square centimeters, we can convert the area of Bill's office from square centimeters to square meters by dividing by 10,000.

Area of Bill's office in square meters = (82,000 cm² + 7100 cm²) / 10,000 = 8.9 m²

Therefore, the area of Bill's office is 8.9 m².

Explanation:

User Hans De Jong
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