Math Help!?

Question

a rectangular tile measure 2 inches X 3 inches. what is the fewest number of tiles that are needed to completely cover a square region 2 feet on each side?


I don't get it...please explain!!

Answer 1

The area of the tile is 2" x 3", which is 6 sq. in.

The area to be covered is 24" x 24", which is 576 sq. in.

Now you have to divide to find out how many tiles you need.
576 divided by 6 is 96, so you need at least 96 tiles.

Answer 2

Your square region its 2 feet on each side. You can also say that it is 24 inches on each side. If your rectangular tile is 2 inches tall and 3 inches wide then you want to find how many you will need to cover the region. So, going up and down you would need 12 tiles (24/2), and going across you would need 8 tiles (24/3). To find the total you then multiply the rows(12) by the columns(8). And, 12*8=96, so you will need 96 tiles.

Answer 3

first, you need to convert the region that is 2 ft. on each side into inches. since there are 12 inches in one foot, you have 24 inches on each side of the area. next, you need to find how many tiles fit lengthwise from left to right. since the tiles aren't perfect squares, take the bottom side of the square (24) divided by the width of the tile (2) to get twelve tiles across the bottom. now, find how many fit from top to bottom. take 24 divided by 3 (the length of the tile) to get 8. So, you have 8 tiles high by 12 tiles across. Multiply 8 x 12 = 96. And that's your answer!

note that some other users used the area of the square (576) divided by the area of the tile (6). it might work in this case, since the tiles fit evenly into the square, but if the tiles didn't fit exactly, you would need to use the method I used.

Answer 4

If it is 2 feet x 2 feet that means it is 24 inches x 24 inches. so it would take 8 tiles across and 12 tiles down. 12 x 8 = ????