Suppose that carpeting costs $1.20 per square foot.
how much would it cost to carpet every room in this house
except the kitchen?
35 feet
10 feet
5 feet
kitchen
dining
room
8 feet
enclosed
10 feet
porch
living
room
14 feet
10 feet
12 feet

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

a. the are of the rectangle is 18.25

b. 18.25 times two is 36.50

rae me : d

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: