Questions: A homeowner wants to carpet three rooms that measure 10 feet by 10 feet, 11 feet by 13 feet, and 23 feet by 21 feet. How many square yards of carpet should be ordered? Input the value only. (Round the FINAL answer to the nearest tenth.)

Solution Steps

First, calculate the area of each room in square feet.

• Room 1: \(10 \, \text{ft} \times 10 \, \text{ft} = 100 \, \text{sq ft}\)
• Room 2: \(11 \, \text{ft} \times 13 \, \text{ft} = 143 \, \text{sq ft}\)
• Room 3: \(23 \, \text{ft} \times 21 \, \text{ft} = 483 \, \text{sq ft}\)

Add the areas of the three rooms to find the total area in square feet.

\[ 100 \, \text{sq ft} + 143 \, \text{sq ft} + 483 \, \text{sq ft} = 726 \, \text{sq ft} \]

Since 1 square yard is equal to 9 square feet, convert the total area from square feet to square yards.

\[ \frac{726 \, \text{sq ft}}{9 \, \text{sq ft/sq yd}} = 80.6667 \, \text{sq yd} \]

Round the result to the nearest tenth.

\[ 80.6667 \, \text{sq yd} \approx 80.7 \, \text{sq yd} \]

Final Answer