While visiting Pompeii, Italy, Paloma saw a mosaic in the shape of a triangle on the floor of an ancient home. Paloma measured one tile in the mosaic and found it to be 1 centimeter on each side. She then measured the width and height of the mosaic and found them to be 152 cm and 79 cm, respectively. Find the number of tiles that were used to make the mosaic by calculating its area.
http://i1052.photobucket.com/albums/s441/leya454/16331.gif
A. 12,008 tiles
B. 73 tiles
C. 6,004 tiles
D. 231 tiles

Question

While visiting Pompeii, Italy, Paloma saw a mosaic in the shape of a triangle on the floor of an ancient home. Paloma measured one tile in the mosaic and found it to be 1 centimeter on each side. She then measured the width and height of the mosaic and found them to be 152 cm and 79 cm, respectively. Find the number of tiles that were used to make the mosaic by calculating its area.
http://i1052.photobucket.com/albums/s441/leya454/16331.gif
A.	12,008 tiles
B.	73 tiles
C.	6,004 tiles
D.	231 tiles

jim_thompson5910 · Answer

Calculate the area of the triangle 


A = (bh)/2 


A = (152*79)/2 


A = 12008/2 


A = 6004 


So the area of the triangle is 6004 square cm. Since each square is 1 x 1 cm, the area of each tile is 1 sq cm. 


So 6004/1 = 6004 tiles were used.


So the answer is choice C