A carpenter was creating a fence around his back yard the rectangular yard measured 4 1/2 feet by 8 2/3 feet what is the perimeter of the backyard
To find the perimeter of a rectangle, you need to add all four sides.
First, let's convert the mixed numbers into improper fractions:
4 1/2 = (4 * 2 + 1) / 2 = 9/2
8 2/3 = (8 * 3 + 2) / 3 = 26/3
Now we can calculate the perimeter by adding up all four sides:
Perimeter = (9/2 + 9/2) + (26/3 + 26/3)
To add fractions, we need a common denominator. In this case, the common denominator is 2 * 3 = 6.
Perimeter = (9/2 + 9/2) + (26/3 + 26/3)
= (9/2 + 9/2) + (26/3 + 26/3)
= 18/2 + 52/3
Now, we multiply the numerator and denominator for each fraction to get a common denominator:
Perimeter = (18/2 * 3/3) + (52/3)
= 54/6 + 52/3
Next, we convert the fraction 54/6 into a mixed number:
Perimeter = (54 รท 6) + 52/3
= 9 + 52/3
To add a whole number and a fraction, we need a common denominator. In this case, the common denominator is 3:
Perimeter = (9 * 3/3) + 52/3
= 27/3 + 52/3
Finally, we can add the fractions together:
Perimeter = 27/3 + 52/3
= (27 + 52)/3
= 79/3
Therefore, the perimeter of the backyard is 79/3 feet or approximately 26.33 feet.
P = 2L + 2W
P = (2 * 4.5) + (2 * 8.6667)
P = 9 + 17.33333
P = 26.3333 = 26 1/3