Asked by admin @ in Mathematics viewed by 270 People
Suppose that carpeting costs $1.20 per square foot.
How much would it cost to carpet every room in this houseexcept the kitchen. 35 feet10 feet5 feetKitchenDiningroom8 feetEnclosed10 feetporchLivingroom14 feet10 feet12 feet
Answered by admin @
Answer:
It would cost $580.8 to carpet every room except the kitchen
Step-by-step explanation:
* Lets explain how to find the area which will covered by carpet
- From the graph we can find the dimension of each room
# Enclosed porch
- It is shaped a square with side length 10 feet
∵ Area of the square = L² , L is the length of the side of the square
∴ A = 10² = 100 feet²
∴ The area of the Enclosed porch is 100 feet²
# Living room
- It is shaped L letter, so we can find its area by divide it into two
rectangles
- Rectangle 1 with dimensions 12 by 10
- Rectangle 2 with dimensions [(14 - 10) + 12] and [(5 + 10) - 8]
∵ Area of rectangle = l × w , where l , w are its dimensions
∴ Area of rectangle 1 = 12 × 10 = 120 feet²
∵ The dimension of rectangle 2 are 16 and 7
∴ Area of rectangle 2 = 16 × 7 = 112 feet²
∵ Area of the living room = Area rectangle 1 + area rectangle 2
∴ Area of the living room = 120 + 112 = 232 feet²
∴ The area of the living room is 232 feet²
# Dining room
- It is shaped a rectangle of dimensions (35 - 16) and 8
∵ The area of the dining room = l × w
∵ l = 19 and w = 8
∴ The area of the dining room = 19 × 8 = 152 feet²
∴ The area of the dining room is 152 feet²
* Lets find the total area to carpet
∵ The dining room , living room and enclosed porch would carpet
∴ The total area to carpet = 100 + 232 + 152 = 484 feet²
- Suppose that carpeting costs $1.20 per square foot
∵ The cost of the carpet is $1.20 per foot²
∵ The area will covered = 484 feet²
∴ The cost of the carpet = 484 × 1.2 = $580.8
* It would cost $580.8 to carpet every room except the kitchen
- Look to the attached figure for more understand
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