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 bein g 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.
2 answers:
Answer:
64
Step-by-step explanation:
We have been given that the total area of the land is 2^15 square miles. The pieces being sold are 8^3 square miles in size.
The number of smaller pieces of land will the quotient of total area and area of each small piece.
We can rewrite as
Using quotient property of exponents, we will get:
Therefore, 64 smaller pieces of land can be sold at the stated size.
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
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