First, we need to calculate the total area of the floor without the spoilage. To do this, we'll multiply the length of the floor (75 feet) by the width of the floor (68 feet):
75 feet x 68 feet = 5050 square feet
Next, we need to calculate the spoilage by multiplying the total area by 10% (or 0.1). To do this:
5050 square feet x 0.1 = 505 square feet
So the spoilage is 505 square feet.
To account for this spoilage, the company will need to purchase an additional 505 square feet of tile.
Now since we need to estimate the dimensions of the room to the nearest tens, we can round the width and length to 70 and 80 respectively.
So the final estimate of the floor area will be 70 feet x 80 feet = 5600 square feet
So the company will have to purchase 5600 square feet of tile to cover the floor and account for the spoilage.