Inasurveyofa48m²area,youcountatotalof21dandelionsin11quadrats.Thequadratshavesidesof0.9m.Determinetheareacoveredbythequadrants.Giveyouranswerto2decimalplaces.
Question
In a survey of a 48 m² area, you count a total of 21 dandelions in 11 quadrats. The quadrats have sides of 0.9 m. Determine the area covered by the quadrats. Give your answer to 2 decimal places.
Solution
First, we need to determine the area of a single quadrat. The quadrats are squares with sides of 0.9m, so we calculate the area by squaring the side length:
Area of a quadrat = 0.9m * 0.9m = 0.81m²
Next, we need to find the total area covered by the 11 quadrats. We do this by multiplying the area of a single quadrat by the number of quadrats:
Total area covered by the quadrats = 0.81m² * 11 = 8.91m²
So, the area covered by the quadrats is 8.91m² to 2 decimal places.
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