Final answer:
To find the approximate perimeter of a picture frame with lengths of 11 7/8 inches and 8 3/8 inches, convert the fractions to decimals and apply the perimeter formula for a rectangle. The result yields an approximate perimeter of 40.5 inches.
Step-by-step explanation:
To calculate the approximate perimeter of a picture frame that is 11 7/8 inches long and 8 3/8 inches wide, we need to add together the lengths of all the sides. Since a rectangle has two lengths and two widths, we double each measurement before adding them together.
We can convert the fractions to decimals for easier calculation. 11 7/8 inches is approximately 11.875 inches and 8 3/8 inches is approximately 8.375 inches. Then, we use the perimeter formula for a rectangle:
P = 2(length) + 2(width)
P = 2(11.875 inches) + 2(8.375 inches)
P = 23.75 inches + 16.75 inches
P = 40.5 inches
Therefore, the approximate perimeter of the frame is 40.5 inches.