Final answer:
To find the area of a rectangle given in mixed numbers, convert the mixed numbers to improper fractions before multiplying. The area of the sign with dimensions 4 1/2 feet by 5 1/4 feet is 23 5/8 square feet.
Step-by-step explanation:
The question requires multiplying mixed numbers to find the area of a rectangle. As given, the dimensions of the sign are 4 1/2 feet by 5 1/4 feet. First, we need to convert these mixed numbers to improper fractions. 4 1/2 becomes 9/2 and 5 1/4 becomes 21/4. Then we multiply the fractions: (9/2) x (21/4) = 189/8. This can be simplified as 23 5/8 square feet, which is the area of the sign.
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