Final answer:
To find the perimeter of a rectangle with the given dimensions, convert the mixed numbers to improper fractions, use the formula for perimeter (P = 2(length + width)), and perform the arithmetic to arrive at a perimeter of 12 1/2 inches.
Step-by-step explanation:
To find the perimeter of a rectangle with dimensions of 3 3/4 inches and 2 1/2 inches, you first need to remember the formula for the perimeter (P) of a rectangle, which is P = 2(length + width). Convert the mixed numbers into improper fractions to make calculations easier: 3 3/4 inches becomes 15/4 inches and 2 1/2 inches becomes 5/2 inches.
Now use the perimeter formula:
P = 2(15/4 inches + 5/2 inches)
Find a common denominator to add the fractions, which is 4:
P = 2((15/4 inches) + (10/4 inches))
P = 2(25/4 inches)
Multiply to find the perimeter:
P = 2 * 25/4 inches
P = 50/4 inches
Simplify the fraction:
P = 12 1/2 inches
The perimeter of the rectangle is 12 1/2 inches.