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# The surface of a lake has an area of 15.5 km2. What is the area of the lake in m2?

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• 15.5 km^2 x (1000m/ km)^2 = 15,500,000 m ^2 answer//

• area = 15.5 km² → you know that: 1 km² = 1 km * 1 km

area = 15.5 * 1 km * 1 km → recall: 1 km = 1000 m

area = 15.5 * 1000 m * 1000 m

area = 15.5 * 1000 * 1000 * m * m

area = 15.5 * 1000000 * m²

area = 155 * 100000 * m²

area = 15500000 m²

• The surface of a lake has an area of 15.5 km^2.

The area of the lake in m^2 is 15.5 million.

• treat units as a variable

15.5 x km^2

find a conversion that you can multiply that doesn't change the value (multiply by 1)

We know that 1km = 1000m so multiply by (1000m/km)^2

15.5km^2 x (1000m/km)^2 = 15500000m^2

15,500,000m^2

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• Since there are 1000 m per km, and you have square km and want square meters, then we have to square the conversion:

15.5 km² (1000 m/km)² = 15.5 * 1000² m² = 15,500,000 m²

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