A carpeted living room and dining room area measures 32 ft by 10 ft. Mark decides to install wood flooring in the 12 ft by 10 ft dining room. By what percent has he reduced the area that is carpeted?
Ac = (32 ft * 10ft) - (12 ft * 10 ft),
Ac = 320F^2 - 120 F^2 = 200 F^2 = Area
carpeted.
%Re = (200 / 320 - 1)100% = -37.5.
Well, Mark must really have something against carpet, huh? Let's do some math to find out the percentage reduction in the carpeted area.
The original area of the living room and dining room is 32 ft by 10 ft, which is 320 square feet.
After installing wood flooring in the dining room, the carpeted area is reduced by 12 ft by 10 ft, which is 120 square feet.
So, the new carpeted area is 200 square feet (320 - 120).
To find the percentage reduction, we need to divide the reduction in area (120) by the original area (320) and multiply by 100.
(120/320) * 100 = 37.5%
So, Mark has reduced the carpeted area by approximately 37.5%. Now, let's hope he doesn't change his mind and decides to install a carpet in the wood flooring area too!
To find the area that is carpeted before Mark installs wood flooring, we first need to calculate the total area of the living room and dining room.
Area of living room and dining room = length × width
Area = 32 ft × 10 ft
Area = 320 ft²
Next, we calculate the area of the dining room that will have wood flooring.
Area of the dining room = length × width
Area = 12 ft × 10 ft
Area = 120 ft²
To find the area that remains carpeted, we subtract the area of the dining room with wood flooring from the total area.
Area carpeted = Total area - Area of dining room with wood flooring
Area carpeted = 320 ft² - 120 ft²
Area carpeted = 200 ft²
To find the percentage reduction in the carpeted area, we divide the reduction in area (area carpeted) by the original area (total area) and then multiply by 100.
Percent reduction = (Reduction in area / Original area) × 100
Percent reduction = (200 ft² / 320 ft²) × 100
Percent reduction = (0.625) × 100
Percent reduction = 62.5%
Therefore, Mark has reduced the carpeted area by 62.5%.
To find the percentage by which Mark has reduced the area that is carpeted, we need to calculate the area of the original carpeted living room and dining room area and then subtract the area of the new wood flooring in the dining room.
The area of the original carpeted living room and dining room area is given by the product of its length and width, which is 32 ft x 10 ft = 320 sq ft.
The area of the new wood flooring in the dining room is given by the product of its length and width, which is 12 ft x 10 ft = 120 sq ft.
To determine the reduced area that is still carpeted, we subtract the area of the wood flooring from the original carpeted area: 320 sq ft - 120 sq ft = 200 sq ft.
Now we calculate the percentage reduction by dividing the reduced area by the original area, and then multiplying by 100:
(200 sq ft / 320 sq ft) x 100 = 62.5%
Therefore, Mark has reduced the area that is carpeted by 62.5%.