Question 697883: There is a figure that is a rectangle with a rectangular shaped cut out. The measurement of the sides are the left side 12, the top 10, the right 7, the cut out in is 4, the cut out down is 5, and the bottom is 6. All measurements are in feet.
This figure represents a kitchen floor that is to be covered with square tiles that are 6 inches on a side. If the tiles cost $1.50 each, what will be the cost of the tiles to cover the floor?
I tried taking the area of the kitchen floor by multiplying 12 * 10 (120) and subtracting it by 4 * 5 (20). I then did 100/6, which I rounded up to 17 and multiplied by 1.50, which gave me $25.5, which I know is incorrect.
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! Your mistake was dividing (100 square feet)/(6 inches).
The area of the kitchen floor can be calculated as you did:
(12 feet)*(10 feet) - (4 feet)*(5 feet) = 120 sq. feet - 20 sq. feet = 100 sq. feet,
but you have to pay attention to the units.
If you knew the area covered by each tile in square feet, you could divide by that number to figure out how many tiles are needed.
Unfortunately, you are not told the area covered by each tile in square feet.
The problem gives you the shape of the tiles (square) and the length of their sides (6 inches).
There are several possible ways to proceed:
You could figure out that since 1 foot is 12 inches = 2*(6 inches),
you need 4 tiles to cover 1 square foot.
Next, you could calculate (a) the number of tiles, or (b) the price per square foot of tiles/tiled floor. I like those choices.
To find the number of tiles, you just multiply square feet of floor times 4 to get
(100 sq ft)*(4 tiles/1 sq. ft) = 400 tiles.
Then you just multiply (400 tiles)*($1.50/tile) = $600.
To find the price per square foot of tiled floor, you figure out (4 tiles/sq. ft)*($1.50/tile) = $6/sq. ft,
and then (100 sq ft)*($6/sq. ft) = $600
Otherwise, you could calculate the area covered by 1 tile in square feet (1/4 sq. ft, or 0.25 sq. ft), and then divide the floor area in sq. ft by the tile area in sq. ft:
{100 sq ft)/(0.25 sq. ft/tile) = 400 tiles.
Calculating the area of the floor and the area of each tile in square inches is another option, but the numbers get too large and cumbersome.
|
|
|
