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# help

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A rectangular tile measures 3 inches by 4 inches. What is the fewest number of these tiles that are needed to completely cover a rectangular region that is 2 feet by 5 feet?

Nov 1, 2019

#1
+19845
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First, lets see if the tiles fit evenly.....

disregarding grout lines

2 feet x 5 feet   is   24 inches x 60 inches

24 is a multiple of 3 and 4

60 is a multiple of 3 and 4

so the tiles should fit evenly

8 x 3 = 24    so 8 rows

15 x 4 = 60  so 15 columns         15 x 8 =120 tiles

Check:  24 x 60 = 1440 sq inches

120 tiles x 3x4 = 1440 sq inches    Check!

Nov 1, 2019

#1
+19845
0

First, lets see if the tiles fit evenly.....

disregarding grout lines

2 feet x 5 feet   is   24 inches x 60 inches

24 is a multiple of 3 and 4

60 is a multiple of 3 and 4

so the tiles should fit evenly

8 x 3 = 24    so 8 rows

15 x 4 = 60  so 15 columns         15 x 8 =120 tiles

Check:  24 x 60 = 1440 sq inches

120 tiles x 3x4 = 1440 sq inches    Check!

ElectricPavlov Nov 1, 2019