SOLUTION: The new kitchen is to be 20 ft long and its width is 75%.The door to enter the kitchen is on the short wall and is 10% of the width of that wall.You want to put in marble counterto

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Question 546385: The new kitchen is to be 20 ft long and its width is 75%.The door to enter the kitchen is on the short wall and is 10% of the width of that wall.You want to put in marble countertops but don't want them to take up more than 1/20 of the space in your kitchen(space is ft2)what is the largest area the counters can take up?
If your counters take up that much space and are 2 ft wide,how long are they?


You also want to tile your kitchen floor. If each tile is square and is 6in long,then how many tiles do you need for the whole floor?(Disreguard allowance for grout,but dont forget the space the counters take up.)

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If the width of the kitchen is 75% of the 20-foot length, the kitchen width, in feet is
0.75%2A20=15
The floor surface (in square feet) would be
15%2A20=300The countertops can be at most 1/20 of that or (in square feet)
15%2A20%2A%281%2F20%29=15.
If the countertops take that much space in straight stretches (no L shapes) with 2 ft width, then their total length will be 15ft%5E2%2F2ft=7.5ft
If all but the 15 square feet taken up by the countertops is to be tiled, you need to tile 300-15=285 square feet. Your 6-inch tiles are 0.5 ft long, with 0.25 square feet of surface, and you need 4 of those to cover 1 square foot of floor, so to cover 285 square feet, you'd need
285%2A4=1140 tiles.