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Calculate the area of a rectangular piece of land with a length of 8.0x10 cm and a width of 4.0x 109 cm. Express your answer in meters. Identify the base and derived units and describe how/why these units differ.

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Final answer:

The area of the rectangular piece of land is 3.2x10^11 m².

Step-by-step explanation:

To calculate the area of the rectangular piece of land, we can use the formula: area = length x width. In this case, the length is 8.0x10 cm and the width is 4.0x10^9 cm.

To express the answer in meters, we need to convert the units. 1 cm is equal to 0.01 meters, so we can convert the length and width by multiplying them by 0.01.

Using the given values, the area of the rectangular piece of land is (8.0x10 cm x 4.0x10^9 cm) x (0.01 m/cm x 0.01 m/cm) = 3.2x10^11 m².

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