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 60 cm*40 cm, approximately how many pieces of sod should the homeowner order?
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To determine how many pieces of sod the homeowner should order, we need to calculate the total area of the lawn and divide it by the area of one piece of sod.
First, let's calculate the area of the lawn:
Area of the lawn = Length * Width
Given that the dimensions of the lawn are 28' * 18', we need to convert them to the same units before calculating the area. Let's convert from feet to centimeters, as the dimensions of the sod are given in centimeters.
1 foot = 30.48 centimeters
So, the dimensions of the lawn become:
Length = 28' * 30.48 cm/ft = 853.44 cm
Width = 18' * 30.48 cm/ft = 548.64 cm
Now, we can calculate the area of the lawn:
Area of the lawn = Length * Width = 853.44 cm * 548.64 cm
Next, let's calculate the area of one piece of sod:
Area of one piece of sod = Length * Width = 60 cm * 40 cm
Finally, we can determine the number of pieces of sod the homeowner should order:
Number of pieces of sod = Area of the lawn / Area of one piece of sod
Now, let's substitute the values into the formula to find the answer:
Number of pieces of sod = (853.44 cm * 548.64 cm) / (60 cm * 40 cm)
By performing the calculation, the homeowner should order approximately 641 pieces of sod.