Felisa will carpet her rectangular living room. The carpet she selected is sold by the square yard,at a cost of $32 per square yard. To the nearest dollar how much will it cost to carpet the living room? ( the length is 26 ft and 4 in. & the width is 15 ft and 9 in.)
SOMEBODY HELP PLEASE!!
$32 (26.33)(15.75) = $?
To calculate the cost of carpeting the rectangular living room, we need to find the area of the room in square yards and then multiply it by the cost per square yard.
First, let's convert the dimensions of the room from feet and inches to yards.
Length: 26 ft and 4 in = 26 + (4/12) = 26.33 ft
Width: 15 ft and 9 in = 15 + (9/12) = 15.75 ft
To convert feet to yards, divide by 3:
Length: 26.33 ft ÷ 3 = 8.77 yds
Width: 15.75 ft ÷ 3 = 5.25 yds
Next, calculate the area of the room:
Area = Length × Width
Area = 8.77 yds × 5.25 yds = 46.1025 square yards (rounded to 4 decimal places)
Finally, multiply the area by the cost per square yard:
Cost = Area × Cost per square yard
Cost = 46.1025 sq yds × $32/sq yd = $1475.28
To the nearest dollar, it will cost $1475 to carpet the living room.
To calculate the total cost of carpeting the living room, we need to find the area of the room in square yards and then multiply it by the cost per square yard.
Step 1: Convert the length and width from feet and inches to feet.
Length: 26 ft and 4 in = 26 ft + 4/12 ft = 26.33 ft
Width: 15 ft and 9 in = 15 ft + 9/12 ft = 15.75 ft
Step 2: Calculate the area in square feet.
Area = Length x Width = 26.33 ft x 15.75 ft = 414.68 sq ft
Step 3: Convert the area from square feet to square yards.
1 sq yd = 9 sq ft
Area in square yards = 414.68 sq ft / 9 sq ft/sq yd = 46.07 sq yd
Step 4: Multiply the area in square yards by the cost per square yard.
Cost = Area x Cost per square yard = 46.07 sq yd x $32/sq yd ≈ $1474
Therefore, it will cost approximately $1474 to carpet the living room.