Question

A woman needs to seed 80% of her lawn with grass seed. The lawn measures 10 meters in length and 25 meters in width. If 1,000 seeds have to be sown per square meter, how many seeds will she plant? 50,000 seeds100,000 seeds125,000 seeds200,000 seeds250,000 seeds

Answer 1

The lawn measures 10 meters in length and 25 meters in width:

Step 1 : Find the Area of the lawn

`\text{Area = Length x width}`

`\begin{gathered} \text{Area = Length x width} \\ \text{Length = 10 meters } \\ \text{width = 25 meters} \\ \text{Area = (10 x 25)m}^2 \\ \text{Area = 250 m}^2 \end{gathered}`

Step 2: The woman need to seed 80% of the lawn

`\begin{gathered} 80\text{ \% of the lawn with 200square metres} \\ =(80)/(100)x250m^2 \\ =0.8x250m^2 \\ =200m^2 \end{gathered}`

Step 3: Since it is 1,000 seeds per square meter

and the woman needs to seed 200 square meters

That would be

`\begin{gathered} 1000\text{ s}eeds\text{ per square meter x 200 square meter} \\ =\frac{1000\text{ s}eeds}{m^2}x200m^2 \\ =200,000\text{ s}eeds \end{gathered}`

Hence the correct answer is Option D