Jacob built his fence for his backyard, and now he wants to cover the yard with soil. Jacob's fence is 17m by 9 ½ m. How much soil does he need to cover the yard enclosed by the fence? Write your answer as a decimal:
To find the area of the yard, we can multiply the length and width of the fence.
The length of the fence is given as 17m and the width is given as 9 ½ m.
To convert 9 ½ m into decimal form, we can add 9 to 1/2. This gives us 9 + 0.5 = <<9+0.5=9.5>>9.5.
Now we can multiply the length and width of the fence:
17m * 9.5m = <<17*9.5=161.5>>161.5m².
Therefore, Jacob needs 161.5m² of soil to cover his yard enclosed by the fence.
To find the area of the yard enclosed by the fence, we need to multiply the length and the width of the fence.
The length of the fence is 17m, and the width is 9 ½ m.
To calculate the area, we can convert the mixed number 9 ½ to a decimal by adding 0.5 to the whole number:
9 ½ = 9 + 0.5 = 9.5
Now we can calculate the area of the yard:
Area = length x width
Area = 17m x 9.5m
Calculating this gives us:
Area = 161.5 square meters
So, Jacob needs 161.5 square meters of soil to cover the yard enclosed by the fence.
To find the amount of soil Jacob needs, we need to calculate the area of the yard enclosed by the fence. The formula for finding the area of a rectangle is length multiplied by width.
Given that the length of Jacob's fence is 17 meters and the width is 9 ½ meters, we can use these values to calculate the area.
To find the width as a decimal, we need to convert it from a mixed number (9 ½) to a decimal.
To convert the mixed number to a decimal:
1. Multiply the whole number part (9) by the denominator (2): 9 * 2 = 18.
2. Add the product to the numerator (1): 18 + 1 = 19.
3. Write the sum over the denominator: 19/2.
So, the width of the fence, in decimal form, is 19/2 or 9.5.
Now that we have both the length (17) and the width (9.5) in decimal form, we can calculate the area of the yard.
Area = Length * Width
= 17 * 9.5
= 161.5
Therefore, Jacob needs 161.5 square meters of soil to cover the yard enclosed by the fence.