Jacob is building a fence for his backyard. The length of the fence is 17m and the width is 9 ½ m. How much fencing does Jacob need?
To find the amount of fencing Jacob needs, we can use the formula for the perimeter of a rectangle, which is 2*length + 2*width.
First, we need to convert the width from 9 ½ m to a decimal. We can do this by dividing ½ by 2: ½ ÷ 2 = ¼. So the width is 9 + ¼ = 9.25 m.
Now we can calculate the perimeter: 2 * 17 m + 2 * 9.25 m = 34 m + 18.5 m = 52.5 m.
Therefore, Jacob needs 52.5 meters of fencing.
To calculate how much fencing Jacob needs, we need to find the perimeter of the backyard.
The formula to find the perimeter is:
Perimeter = 2(length + width)
Given that the length of the fence is 17 meters and the width is 9 ½ meters, we can substitute these values into the formula.
First, let's find the sum of the length and width:
Length + Width = 17 + 9 ½
To add the mixed number (9 ½) to the whole number (17), we need to convert the mixed number to an improper fraction:
9 ½ = 19/2
So, the sum of the length and width is:
17 + 19/2 = 17 + 19/2 = (34/2) + (19/2) = 53/2
Now, let's substitute this value into the perimeter formula:
Perimeter = 2 * (Length + Width)
Perimeter = 2 * (53/2)
To simplify the expression, we can cancel out the 2's:
Perimeter = 53/2 * 2 = 53 meters
Therefore, Jacob needs 53 meters of fencing for his backyard.
To find out how much fencing Jacob needs, we can calculate the perimeter of the backyard. The perimeter of a rectangle is the sum of all its sides.
In this case, the length of the fence is given as 17m, and the width is given as 9 ½ m. To calculate the perimeter, we need to add the lengths of all four sides.
The two lengths of the rectangle are 17m each, while the two widths are 9 ½ m each. To calculate the total length of fencing, we add the lengths of all four sides:
17m + 17m + 9 ½ m + 9 ½ m
To add the measurements, we can convert the mixed fraction 9 ½ to an improper fraction. The improper fraction equivalent to 9 ½ is 19/2.
Now, let's substitute the values and add them up:
17m + 17m + 9 ½ m + 9 ½ m = 34m + 19/2m + 19/2m
To simplify the calculations, we can add the numerical coefficients and add the fractions separately.
34m + 19/2m + 19/2m = (34 + 19/2 + 19/2)m
To add the fractions, we need to have a common denominator. The common denominator for 2 and 2 is 2.
(34 + 19/2 + 19/2)m = (34 + 19 + 19)/2m = 72/2m
Simplifying the fraction:
72/2m = 36m
Therefore, Jacob needs 36 meters of fencing to enclose his backyard.