SOLUTION: I need this by 10/24/10 and I need it drawn out. Min works in the kitchen of a catering company. Today her job is to cut whole pieces of pita bread into small triangles. Min use

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Question 360565: I need this by 10/24/10 and I need it drawn out.
Min works in the kitchen of a catering company. Today her job is to cut whole pieces of pita bread into small triangles. Min uses a cutting machine so every pita triangle comes out the same. The base of the triangles is 4 cm and the sides are 6 cm. Min has been told to cut 3 pita triangles for every guest. there will be 250 guests. If the pita bread she uses comes in squares with 20 cm sides and she doesn't waste any bread how many squares of whole pita bread will min have to cut up? [Click to preview math format]

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
*Min works in the kitchen of a catering company. Today her job is to cut whole pieces of pita bread into small triangles. Min uses a cutting machine so every pita triangle comes out the same. The base of the triangles is 4 cm and the sides are 6 cm. Min has been told to cut 3 pita triangles for every guest. there will be 250 guests. If the pita bread she uses comes in squares with 20 cm sides and she doesn't waste any bread how many squares of whole pita bread will min have to cut up?*
Each triangle is isosceles, with base 4cm and congruent sides 6cm. The height of this triangle is 4sqrt%282%29cm. The area of each triangle is then A+=+bh%2F2=4%2A4sqrt%282%29%2F2=8sqrt%282%29sq.cm. Since 3 of these are alloted for each guest, there 3%2A8sqrt%282%29+=+24sqrt%282%29sq.cm of pita bread alloted for each guest. Since there are 250 guests, Min needs a total of 250%2A24sqrt%282%29+=+6000sqrt%282%29 sq.cm. of pita bread. The area of each pita square is 20 cm x 20cm = 400 sq.cm. Let x = number of pita bread squares she will need. Then
400x+=+6000sqrt%282%29, or x = 21.2132, to 4 decimal places. Therefore she would need 22 pita bread squares.