Joe wants to carpet a 12 foot by 18 foot rectangular living room and a square bedroom. One side length of the square bedroom is 12 feet. Carpet costs $3.50 per square foot. What percent of the total amount Joe will pay will be spent on carpeting the bedroom? Show your work always.
THX!!!!
the bedroom is 12*12 = 144 ft^2
the living room is 12*18 = 216 ft^2
so, the bedroom's area is 144/(144+216) of the total.
The price of the carpet is irrelevant.
def not a copy
the bedroom is 12*12 = 144 ft^2
the living room is 12*18 = 216 ft^2
so, the bedroom's area is 144/(144+216) of the total.
The price of the carpet is irrelevant.
To find the percent of the total amount Joe will spend on carpeting the bedroom, we first need to calculate the total cost of carpeting for both the living room and the bedroom.
1. Calculate the area of the living room:
Area of a rectangle = length × width
Area of the living room = 12 ft × 18 ft
Area of the living room = 216 square feet
2. Calculate the area of the bedroom:
Since one side length of the square bedroom is 12 feet, both sides will be equal.
Area of a square = side length × side length
Area of the bedroom = 12 ft × 12 ft
Area of the bedroom = 144 square feet
3. Calculate the total area to be carpeted:
Total area = Area of the living room + Area of the bedroom
Total area = 216 square feet + 144 square feet
Total area = 360 square feet
4. Calculate the total cost of carpeting:
Total cost = Total area × Cost per square foot
Total cost = 360 square feet × $3.50/square foot
Total cost = $1,260
5. Calculate the cost of carpeting the bedroom:
Cost of bedroom = Area of the bedroom × Cost per square foot
Cost of bedroom = 144 square feet × $3.50/square foot
Cost of bedroom = $504
Now, to find the percent of the total amount Joe will pay for carpeting the bedroom:
6. Calculate the percent:
Percent = (Cost of bedroom / Total cost) × 100
Percent = ($504 / $1,260) × 100
Percent = 40%
Therefore, Joe will spend 40% of the total amount on carpeting the bedroom.