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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

Best Answer 

 #1
avatar+19832 
+2

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
avatar+19832 
+2
Best Answer

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

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