Question

a rectangular floor is 21 ft long and 12 ft wide. carmen wants to carpet the floor with carpet titles sold by the square yard. use the facts to find the area in square yards. conversion facts for length 1 foot (ft) = 12 inches (in) 1 yard (yd) = 3 feet (ft) 1 yard (yd) = 36 inches (in)

Explanation:

Step1: Calculate area in square feet

The area formula for a rectangle is $A = l\times w$. Here, $l = 21$ ft and $w = 12$ ft. So $A_{ft}=21\times12 = 252$ square - feet.

Step2: Convert square - feet to square - yards

Since 1 yard = 3 feet, 1 square - yard = 3 ft×3 ft = 9 square - feet. Let $A_{yd}$ be the area in square - yards. Then $A_{yd}=\frac{A_{ft}}{9}$. Substituting $A_{ft}=252$ into the formula, we get $A_{yd}=\frac{252}{9}=28$.

Answer:

28