Question

1. kobe is designing a rectangular basketball mural for the school gym. the mural will be $18\frac{1}{2}$ feet long and $30\frac{1}{4}$ feet high. what is the area of the mural?

Explanation:

Step1: Convert mixed numbers to improper fractions

The length is \(18\frac{1}{2}\) feet, which is \(\frac{18\times2 + 1}{2}=\frac{37}{2}\) feet.
The height is \(30\frac{1}{4}\) feet, which is \(\frac{30\times4+ 1}{4}=\frac{121}{4}\) feet.

Step2: Calculate the area of the rectangle

The area \(A\) of a rectangle is given by the formula \(A=\text{length}\times\text{height}\).
So, \(A = \frac{37}{2}\times\frac{121}{4}\)
Multiply the numerators and denominators: \(A=\frac{37\times121}{2\times4}=\frac{4477}{8}\)
Convert the improper fraction to a mixed number: \(\frac{4477}{8}=559\frac{5}{8}\) square feet.

Answer:

The area of the mural is \(559\frac{5}{8}\) square feet.