A living room measures 24 feet by 15 feet. An adjacent square dinning room measures 13 feet on each side. If carpet costs $6.98 per square foot, what is the total cost of putting carpet in both rooms?
area = 24 * 15 + 13*13 = 360 + 169 = 529 ft^2
cost = 529 ft^2 * $ 6.98 / ft^2 = $3692.42
Yikes!
To find the total cost of putting carpet in both rooms, we first need to calculate the area of each room.
The living room has dimensions of 24 feet by 15 feet, so its area is calculated as follows:
Area of living room = Length × Width = 24 feet × 15 feet = 360 square feet
The dining room is a square with sides measuring 13 feet. The area of a square can be found by taking the square of one side, so:
Area of dining room = Side × Side = 13 feet × 13 feet = 169 square feet
To find the total area of both rooms:
Total area = Area of living room + Area of dining room = 360 square feet + 169 square feet = 529 square feet
Lastly, to calculate the total cost of carpeting both rooms, we multiply the total area by the cost per square foot:
Total cost = Total area × Cost per square foot = 529 square feet × $6.98/square foot = $3,689.22
Therefore, the total cost of putting carpet in both the living room and dining room is $3,689.22.
To find the total cost of putting carpet in both rooms, we need to calculate the area of each room and then multiply it by the cost per square foot.
Let's start with the living room. The living room measures 24 feet by 15 feet, so its area is given by the product of its length and width: 24 ft * 15 ft = 360 square feet.
Next, we'll calculate the area of the dining room. The dining room is a square with each side measuring 13 feet. The area of a square is found by squaring the length of one side, so the area of the dining room is 13 ft * 13 ft = 169 square feet.
Now that we have the areas of both rooms, we can calculate the total cost. The cost per square foot is $6.98, so we multiply this by the sum of the areas of both rooms:
(360 square feet + 169 square feet) * $6.98/square foot = 529 square feet * $6.98/square foot = $3692.42
Therefore, the total cost of putting carpet in both rooms is $3692.42.