A rectangular floor that measures 24 meters by 64 meters is to be covered with carpet squares that each measure 8 meters by 8 meters. If the carpet squares cost $24 apiece, what is the total cost for the number of carpet squares needed to cover the floor? Choose the correct choice from the following answers
A) $ 200
B) $ 576
C) $ 480
D) $ 960
E) $ 1,920

Rationale: the width of the rectangular floor ( 24 m ) is a multiple of one side of the square ( 8 m ) , and the length of the floor ( 64 m ) is also a multiple of the side of the square . so the number of carpets to cover the floor is ( 24 / 8 ) * ( 64 / 8 ) = 24 . the total cost is 24 * 24 = $ 576 . the answer is , therefore , b .
Answer: B