Answered

A man wishes to cover his floor with tiles, each one measuring 3/4

inch by 2 inches. If his room is a rectangle, measuring 12 feet by 18

feet, how many such tiles will he need?

A) 144, B) 1152, C) 1728, D) 9216, E) 20736

Plz help me with this problem.. :-(

Verified Answer :

konrad509

\(12\cdot18=216 \ ft^2\leftarrow\hbox{ area of the floor}\\ \frac{3}{4}\cdot2=\frac{3}{2}=1.5 \ ft^2 \leftarrow \hbox{area of a tile}\\\\ \frac{216}{1.5}=144 \Rightarrow A\)

\(Area floor = 18 * 12 = 216 feet^2\)

\(Area tile = 2 * 3/4 = 6/4 = 3/2 = 1.5 feet^2\)


\(216/1.5 = 144\\ So the answer is A).\)

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