9.2 Measuring Area

Square units from square centimeters up to hectares, why a conversion factor gets squared, and judging whether a stated surface size is plausible.

Contemporary Mathematics, 9.2 Measuring Area

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9 exercises

9.2 Exercise 1

Which unit of measure is most reasonable to describe the area of a sheet of paper: $\text{km}^{2}$ , $\text{cm}^{2}$ , or $\text{mm}^{2}$ ?

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9.2 Exercise 3

You want to paint your bedroom walls. Which represents a reasonable value for the area of the walls: 100 cm², 100 m², or 100 km²?

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9.2 Exercise 5

A landscaper is hired to resod a school’s football field. After measuring the length and width of the field they determine that the area of the football field is 5,350 km². Does their calculation make sense? Explain your answer.

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9.2 Exercise 7

A plot of land has an area of 237,500,000 m². What is the area in square kilometers?

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9.2 Exercise 9

A plot of land has an area of 0.004046 km². What is the area of the land in square meters?

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9.2 Exercise 11

A computer chip measures 10 mm by 15 mm. How many square centimeters is the computer chip?

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9.2 Exercise 13

One side of a commercial building is 12 meters long by 9 meters high. There is a rolling door on this side of the building that is 4 meters wide by 3 meters high. You want to refinish the side of the building, but not the door, with aluminum siding. How many square meters of aluminum siding are required to cover this side of the building?

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9.2 Exercise 15

A national park has a land area in the shape of a rectangle. The park measures 2.2 kilometers long by 1,250 meters wide. What is the area of the park in square kilometers?

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9.2 Exercise 17

A kitchen floor has an area of 15 m². The floor in the kitchen pantry is 100 cm by 200 cm. You want to tile the kitchen and pantry floors using the same tile. How many square meters of tile do you need to buy?

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