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An 8 foot square floor is to be covered with square tiles measuring 8 inches on each side. If each tile

costs 50 cents, how much will it cost to tile the floor?
A. $32
B. $64
C. $72
D. $96

Please explain how to get the answer

User Tensho
by
5.4k points

2 Answers

3 votes

Final answer:

To tile an 8 foot square floor with 8-inch tiles that cost 50 cents each, calculate the total area in square inches, determine the number of tiles needed by dividing by the area of one tile, and multiply by the cost per tile to find that the total cost is 72.

Step-by-step explanation:

To determine how much it will cost to tile an 8 foot square floor with square tiles that measure 8 inches on each side and cost 50 cents each, follow these steps:

  1. Convert the dimensions of the floor from feet to inches, since the tiles are measured in inches. An 8-foot square floor is 96 inches on each side (8 feet x 12 inches per foot).
  2. Calculate the area of the floor in square inches: 96 inches × 96 inches = 9,216 square inches.
  3. Find the area of a single tile, which is 8 inches × 8 inches = 64 square inches.
  4. Divide the area of the floor by the area of a single tile to get the number of tiles needed: 9,216 square inches / 64 square inches = 144 tiles.
  5. Since each tile costs 50 cents, multiply the number of tiles by the cost per tile: 144 tiles x 0.50 = 72.

Therefore, the total cost to tile the floor is 72.

User Kumar Kundan
by
5.5k points
4 votes

Answer:

72

Step-by-step explanation:

There are 12 inches in a foot.

Therefore in 8 feet there are 96 inches

Therefore the square floor is 96 * 96.

Therefore the area of the square floor is 9216 inches squared.

Each tile is 8 inches by 8 inches meaning it has an area of 64 inches squared.

9216 / 64 = 144.

Therefore 144 tiles are needed to tile the floor

Since each tile is 50 cents, 144 * 0.5 = 72

Therefore it costs 72 dollars to tile the floor.

User Imran Ahmed
by
5.3k points