A rectangular room measures 13 ½ feet long by 22 ¼ feet wide. Find the area of the room; remember, area = length x width.

A = 13.5 * 22.25

To find the area of a rectangular room, you need to multiply the length by the width.

In this case, the length of the room is given as 13 ½ feet, and the width is given as 22 ¼ feet.

However, we need to convert these mixed numbers into improper fractions before we can multiply them.

To convert 13 ½ to an improper fraction, we need to multiply the whole number (13) by the denominator (2) and then add the numerator (1). This gives us (13 x 2) + 1 = 27. So, 13 ½ is equal to 27/2.

Similarly, to convert 22 ¼ to an improper fraction, we multiply the whole number (22) by the denominator (4) and then add the numerator (1). This gives us (22 x 4) + 1 = 89. So, 22 ¼ is equal to 89/4.

Now that we have the lengths in the form of improper fractions, we can multiply them to find the area.

Area = Length x Width

= (27/2) x (89/4)

To multiply fractions, we multiply the numerators together and the denominators together.

Area = (27/2) x (89/4) = (27 x 89) / (2 x 4) = 2403/8.

So, the area of the given rectangular room is 2403/8 square feet.