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A rectangular area of land is being sold off in smaller pieces. The total area of the land is 2^15 square miles. The pieces being sold are 8^3 square miles in size. How many smaller pieces of land can be sold at the stated size? Compute the actual number of pieces.

Verified Answer :

rabinshrestha41

total area of the rectangular land = 2^15 sq. miles
                                                     = 32768 sq. miles

total area of the pieces being sold = 8^3 sq. miles
                                                       = 512 sq. miles

now total no. of pieces = total area of the land / the area of samaller land that's                                                                                     being sold
                                     = 32768 / 512
                                     = 64

so the actual number of pieces is 64

  • The rectangular area to find the area that these objects occupy.
  • The area of the rectangle is the multiplication of the length and width.
  • The rectangular land area \(= \bold{2^{15}= 32768 \ square\ miles}\)
  • The sold pieces area \(= \bold{8^3= 512\ square \ miles}\)


Calculating the number of pieces:

\(=\frac{\text{land area}}{ \text{solding area of smaller land}} \\\\= \frac{32768}{512}\\\\= 64\)

Therefore, the actual number of pieces is "64".

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