To find the actual area of the garden based on the scale drawing, we first need to convert the dimensions from inches to meters using the scale provided.
The dimensions of the garden in the scale drawing are:
- Length = 5 inches
- Width = 3 inches
According to the scale, 1 inch is equivalent to 2 meters. Therefore, we can convert the dimensions as follows:
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Convert the length: \[ \text{Actual Length} = 5 \text{ inches} \times 2 \text{ meters/inch} = 10 \text{ meters} \]
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Convert the width: \[ \text{Actual Width} = 3 \text{ inches} \times 2 \text{ meters/inch} = 6 \text{ meters} \]
Next, we calculate the actual area of the garden using the formula for the area of a rectangle, which is: \[ \text{Area} = \text{Length} \times \text{Width} \]
Substituting the actual dimensions into the formula:
\[ \text{Area} = 10 \text{ meters} \times 6 \text{ meters} = 60 \text{ square meters} \]
Hence, the actual area of the garden is: \[ \boxed{60} \text{ square meters} \]