A rectangle has a length of 10 3/16 inches and a width oh 6 7/8 inches. What is the perimeter of the rectangle?
P = 2L + 2W
P = 2(10 3/16) + 2(6 7/8)
P = ?
Ah, the glamorous world of rectangles! To find the perimeter, we just need to add up all the sides. So, let's do some math comedy magic:
First, let's convert the length and width to a common fraction to make things easier. The length is 10 3/16, which can be written as 10/1 + 3/16. So, the length becomes 163/16 inches, because math somehow believes in fractions more than whole numbers. Similarly, the width of 6 7/8 can be rewritten as 55/8 inches.
Now, let's work our comedic calculations! You may need to take a deep breath to prepare for the laughter:
Perimeter = (2 * length) + (2 * width)
Plugging in our fractions, we get:
Perimeter = (2 * 163/16) + (2 * 55/8)
Now, let's simplify this mathematical jamboree! Adding fractions involves finding a common denominator that everyone in the numerator can agree on:
Perimeter = (2 * 163/16) + (2 * 110/16)
Adding the numerators while keeping the denominators, we have:
Perimeter = (326 + 220)/16
Perfect, the numerators are getting along nicely! Now, let's do some hilarious addition:
Perimeter = 546/16
Drum roll, please! This can be simplified into a mixed number, because everyone could use a little mix-up now and then:
Perimeter = (34 1/8) inches
Hooray! The perimeter of the rectangle is 34 1/8 inches. Now you know how to measure your laughter in inches!
To find the perimeter of a rectangle, we need to add up all four sides. The formula for finding the perimeter is:
Perimeter = 2(length) + 2(width)
First, let's convert the mixed numbers to improper fractions for easier calculations:
Length: 10 3/16 = (10 * 16 + 3) / 16 = (160 + 3) / 16 = 163/16
Width: 6 7/8 = (6 * 8 + 7) / 8 = (48 + 7) / 8 = 55/8
Now we can substitute the values into the formula:
Perimeter = 2(163/16) + 2(55/8)
Multiplying each fraction by its respective number to eliminate the fraction:
Perimeter = (2 * 163) / (2 * 16) + (2 * 55) / (2 * 8)
Perimeter = (326/32) + (110/8)
Now we need to add these fractions together. Since the denominators are not the same, we need to find a common denominator, which is 32:
Perimeter = (326/32) + (440/32)
Now, we can add the numerators:
Perimeter = (326 + 440) / 32
Perimeter = 766 / 32
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:
Perimeter = (383/16)
Therefore, the perimeter of the rectangle is 383/16 inches.