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Question

For this question, use the metric units of are and hectare. The are (pronounced as“
air”
) is the unit for measuring the area of house lots, gardens, and other medium‐size regions. The are is equal to the area of a square whose sides measure 10 meters each. The hectare is a unit of area for measuring larger regions. It is the area of a square whose sides measure 100 meters each.
 
a. How many ares equal 1 square kilometer?
 
 
There are
ares.
 
b. How many hectares equal 1 square kilometer?
 
 
There are
hectares.

Answer 1

1 are = 10 m x 10 m = 100 m²

1 hectare = 100 m x 100 m = 1x10⁴ m²

 

(a)  1 km² = 1000 m x 1000 m = 1x10⁶ m²

1x10⁶ m² x 1 are/100 m² = 1x10⁴ are = 10,000 are

 

(b)  1 km² = 1000 m x 1000 m = 1x10⁶ m²

1x10⁶ m² x 1 hectare/1x10⁴ m² = 100 hectare