Question

4-8. tina’s rectangular living - room floor measures 15 feet by 18 feet.
a. how many square feet of carpet will tina need to cover the entire floor?
b. the carpet tina likes is sold by the square yard. (1 yard = 3 feet) how many square yards will she need?

Explanation:

Part a

Step1: Recall area formula for rectangle

The area \( A \) of a rectangle is given by the formula \( A = \text{length} \times \text{width} \).

Step2: Substitute values into formula

The length of the living - room floor is 18 feet and the width is 15 feet. So, \( A=18\times15 \).

Step3: Calculate the product

\( 18\times15 = 270 \).

Step1: Recall the conversion factor

We know that 1 yard = 3 feet, so 1 square yard \(=(3\text{ feet})\times(3\text{ feet}) = 9\text{ square feet}\).

Step2: Divide total square feet by square feet in a square yard

We found in part (a) that the area is 270 square feet. To find the number of square yards, we divide 270 by 9. Let the number of square yards be \( n \), then \( n=\frac{270}{9} \).

Step3: Calculate the result

\( \frac{270}{9}=30 \).

Answer:

270 square feet

Part b