Q:

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​

Accepted Solution

A:
Answer:It would cost $580.8 to carpet every room except the kitchenStep-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