SOLUTION: The floor of a building is covered with square vinyl tiles. The floor is in the shape of a trapezoid with an altitude of 32-ft and bases of 40-ft and 50-ft. One carton of tiles has

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The floor of a building is covered with square vinyl tiles. The floor is in the shape of a trapezoid with an altitude of 32-ft and bases of 40-ft and 50-ft. One carton of tiles has      Log On

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Question 1197556: The floor of a building is covered with square vinyl tiles. The floor is in the shape of a trapezoid with an altitude of 32-ft and bases of 40-ft and 50-ft. One carton of tiles has a coverage of 45-sq.ft. Allowing for 5% waste, how many cartons of tile are purchased for the job? Round your answer to the nearest whole carton of tile.
Found 2 solutions by ewatrrr, ikleyn:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi 
 Trapezoid: an altitude of 32-ft and bases of 40-ft and 50-ft
Area = %28%28b%5B1%5D+%2B+b%5B2%5D%29%2F2%29%29*h =+%28%2840%2B50%29%2F2%29%2A12 = 540ft^2
One carton of tiles has a coverage of 45-sq.ft:  540ft^2/45ft^2 = 12 cartons
Allowing for 5% waste, how many cartons of tile are purchased for the job? 12

Wish You the Best in your Studies.


Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

The trapezoid area is %28%28b%5B1%5D+%2B+b%5B2%5D%29%2F2%29%29*h =+%28%2840%2B50%29%2F2%29%2A12 = 540ft^2.


Allowing 5% waste, the required area = 540*1.05 = 567 ft^2.


The number of cartoons required:  567 ft^2/ 45 ft^2 = 12.6.


Since it is greater than 12, we  highlight%28highlight%28MUST%29%29  round to the closest  highlight%28highlight%28greater%29%29  integer number, which is 13.


ANSWER. 13 cartoons tiles.