A recreation room has the following dimensions.12ft,30ft,8ft,8ft. Carpeting will cost $1.50 a square foot. How many square feet of carpet will be needed and how much will it cost? Include correct units at each stage within your solution.
It would help if you proofread your questions before you posted them. Four dimensions? Which distances apply to the floor? (I would assume 12 by 30.)
Multiply the dimensions of the floor and then multiply that product by $1.50.
To find the square footage of the recreation room, we need to calculate the area of each side and add them together.
The room has four sides with the following dimensions:
- Side 1: 12ft x 30ft = 360 square feet
- Side 2: 12ft x 30ft = 360 square feet
- Side 3: 8ft x 8ft = 64 square feet
- Side 4: 8ft x 8ft = 64 square feet
To find the total square footage, we add the areas of all four sides together:
360 + 360 + 64 + 64 = 848 square feet
Therefore, the recreation room requires 848 square feet of carpet.
Now, to find the cost, we multiply the area by the cost per square foot:
848 square feet x $1.50 = $1272
So, the cost of carpeting the recreation room will be $1272.