A homeowner is laying sod in her lawn. The lawn is a rectangle with dimensions of 28'*18'. If one piece of sod is a rectangle with dimensions of 60cm*40cm, approximately how many pieces of sod should the homeowner order?
28' = 853.44 cm
18' = 548.64 cm
Easy way, assuming partial pieces are tucked in as needed:
(853*548)/(60*40) = 195
Now, you can do several kinds of approximation, requiring whole pieces, etc. One easy way is to round up the lawn area to multiples of 40 and 60:
853/60 = 14.2, round up to 15
548/40 = 13.7, round up to 14
So, the lawn is about 15 by 14 sods in size, requiring 210 pieces.
The actual optimal value is somewhere in between those two values.
Ah, the joys of sodding! Let's crunch some numbers, shall we?
First, we need to convert the dimensions of the lawn to centimeters. We know that 1 foot is equal to 30.48 centimeters, so the lawn is approximately 853.44cm * 548.64cm.
Next, let's calculate the area of the sod piece. The area of one piece of sod is 60cm * 40cm, which equals 2400 square centimeters.
Now, divide the area of the lawn by the area of one piece of sod to find out how many pieces are needed. With a little math magic, we get 853.44cm * 548.64cm divided by 2400 square centimeters, which is approximately 199.355.
So, the homeowner should order around 199 pieces of sod. But let's not forget about those edges and corners! It's always better to order a few extra pieces, just in case. You never know when the lawn decides to grow a mustache or wear a sock on one side!
Happy sodding, and don't forget to party with the grass! 🌱🎉
To find out how many pieces of sod the homeowner should order, we need to determine the number of sod pieces that can fit in the lawn.
1. Calculate the area of the lawn:
Area = Length * Width
Area = 28 ft * 18 ft
2. Convert the area to square inches (since the sod dimensions are given in cm):
1 ft = 12 inches
Area (in square inches) = (28 ft * 12 inches/ft) * (18 ft * 12 inches/ft)
3. Calculate the area of one piece of sod in square inches:
Piece of sod area = Length * Width
Piece of sod area = 60 cm * 40 cm
4. Convert the sod area to square inches:
1 cm = 0.3937 inches
Piece of sod area (in square inches) = (60 cm * 0.3937 inches/cm) * (40 cm * 0.3937 inches/cm)
5. Divide the total lawn area by the area of one piece of sod to find the number of sod pieces required:
Number of sod pieces = Total lawn area / Piece of sod area
Now we can calculate the number of sod pieces required:
Total lawn area (in square inches) = (28 ft * 12 inches/ft) * (18 ft * 12 inches/ft)
Piece of sod area (in square inches) = (60 cm * 0.3937 inches/cm) * (40 cm * 0.3937 inches/cm)
Number of sod pieces = Total lawn area / Piece of sod area
Please note that the actual number may vary depending on how the sod is cut and any obstacles in the lawn.
To determine how many pieces of sod the homeowner should order, we need to calculate the area of the lawn and the area of one piece of sod, and then divide the two.
First, let's convert the dimensions of the lawn from feet to centimeters. Since 1 foot is equal to 30.48 centimeters, the lawn dimensions become 28' * 30.48 cm/ft * 18' * 30.48 cm/ft, which simplifies to 853.44 cm * 548.64 cm.
Next, let's calculate the area of one piece of sod in square centimeters. The dimensions are given as 60 cm * 40 cm, so the area is 60 cm * 40 cm = 2400 square centimeters.
Finally, to find the number of pieces of sod needed, we divide the area of the lawn by the area of one piece of sod: (853.44 cm * 548.64 cm) / 2400 cm^2 ≈ 195.42.
To cover the entire lawn, the homeowner should order approximately 195 pieces of sod.