Question

1. how many square feet of wallpaper will be used to cover a wall measuring 9 feet by $18\frac{1}{4}$ feet?

Explanation:

Step1: Recall the area formula for a rectangle

The area \( A \) of a rectangle is given by the formula \( A = \text{length} \times \text{width} \). Here, the length is \( 18\frac{1}{4} \) feet and the width is 9 feet. First, convert the mixed number \( 18\frac{1}{4} \) to an improper fraction. \( 18\frac{1}{4}=\frac{18\times4 + 1}{4}=\frac{73}{4} \).

Step2: Calculate the area

Now, multiply the length and the width: \( A=9\times\frac{73}{4} \). \( 9\times\frac{73}{4}=\frac{9\times73}{4}=\frac{657}{4} \). Convert this improper fraction to a mixed number: \( \frac{657}{4}=164\frac{1}{4} \).

Answer:

\( 164\frac{1}{4} \) square feet