Inasurveyofa14m²area,youcountatotalof23dandelionsin10quadrats.Thequadratshavesidesof0.2m.Determinetheareacoveredbythequadrants.Giveyouranswerto2decimalplaces.

1. Break Down the Problem

To determine the area covered by the quadrats, we need to find the area of one quadrat and then calculate the total area covered by all quadrats.

2. Relevant Concepts

The area of a square can be calculated using the formula: $\text{Area} = \text{side}^2$ where the side length of each quadrat is given.

3. Analysis and Detail

1. Calculate the area of one quadrat:

   • Side length of each quadrat = 0.2 m
   • Area of one quadrat: $\text{Area}_{\text{quadrat}} = (0.2 \, \text{m})^2 = 0.04 \, \text{m}^2$

2. Calculate the total area covered by all quadrats:

   • Number of quadrats = 10
   • Total area covered by quadrats: $\text{Total Area} = \text{Area}_{\text{quadrat}} \times \text{Number of quadrats} = 0.04 \, \text{m}^2 \times 10 = 0.4 \, \text{m}^2$

4. Verify and Summarize

The calculations have been carried out systematically and verified. The area covered by the 10 quadrats is calculated correctly based on the side length provided.

Final Answer

The area covered by the quadrats is $0.40 \, \text{m}^2$.