Question

A rectangular piece of land is to be sold off in smaller pieces.the total area of the land is $2^{17}$ sq.miles. The pieces to the cut out are ${16}^2$ sq.miles in size.How many smaller pieces of the land can be sold at the given size?

• A. $2^{15}$
• B. ${16}^4$
• C. $2^9$
• D. None of these

Answer 1

The correct option is C $2^9$

Required number of pieces $=\frac{Totalareaofland}{Areaofeachpiece}=\frac{2^{17}}{{16}^2}=\frac{2^{17}}{(2^4{)}^2}=2^9$