A rectangular floor measuring 8 feet by 6 feet is to be completely covered with square tiles measuring 8 inches on side. How many tiles are needed to completely cover the floor?

2 Answers
Mar 2, 2016

108

Explanation:

First we need to get everything into the same units, whether feet or inches. If we choose inches, then we can say that the floor is 96 inches by 72 inches.
To find how many tiles are need, we need to find out how many time 8fits into each of the floor's dimensions.
96/8 = 12
72/8 = 9

We can therefore fit 12 rows of tiles with 9 tiles in each row. This means there are 12 * 9 = 108 tiles.

Mar 2, 2016

108

Explanation:

First we need to convert the units to the same extent.

1feet=12 inches

:.8 feet=8*12=96

6 feet=6*12=72 inches

If we think,We could find that

No.of tiles=Area of rectangle / Area of each square

Area of rectangle =lb=96*72

Area of each square =s^2=8^2=64

:.rarr=(cancel96*72)/cancel64

rarr=(cancel24*72)/cancel16

rarr=(6*cancel72)/cancel4

rarr=6*18=108