Question

Builders' blueprints frequently use the scale of ¼ inch equals 1 foot. A floor plan shows a family room 10½ inches by 3½ inches. How much will it cost to tile the family room if the tile cost at $7.60/square yard?

Answer 1

To find the actual dimensions of the family room, multiply the measurements by the scale factor. The dimensions of the family room are 42 feet by 14 feet. The cost to tile the family room is $496.89.

Step-by-step explanation:

To find the actual dimensions of the family room, we need to convert the measurements from the blueprint to real-life measurements. The scale in the blueprint is ¼ inch equals 1 foot, so we can use this ratio to convert the measurements.

The length of the family room in the blueprint is 10½ inches. Multiplying this by the scale factor of 1 foot/¼ inch, we get:

10½ inches * (1 foot/¼ inch) = 42 feet.

The width of the family room in the blueprint is 3½ inches. Using the same scale factor, we have:

3½ inches * (1 foot/¼ inch) = 14 feet.

Now that we have the actual dimensions of the family room in feet (42 feet by 14 feet), we can calculate the area by multiplying the length and width:

Area = 42 feet * 14 feet = 588 square feet.

Next, we need to convert the area from square feet to square yards. Since 1 yard is equal to 3 feet, we have:

588 square feet * (1 square yard/9 square feet) = 65.333 square yards.

Finally, we can calculate the cost of tiling the family room by multiplying the area in square yards by the cost per square yard:

Cost = 65.333 square yards * $7.60/square yard = $496.89.