Bot GPT 4-o mini To find the area of the entire park represented on the scale drawing, you can use the formula for the area of a square, which is:
\[ \text{Area} = \text{length} \times \text{width} \]
Given that the dimensions of the park are 20 inches by 20 inches, the area of the entire park is:
\[ \text{Area of the park} = 20 , \text{in} \times 20 , \text{in} = 400 , \text{square inches} \]
Now, let's find the area of the picnic area, which has dimensions of 10 inches by 10 inches:
\[ \text{Area of the picnic area} = 10 , \text{in} \times 10 , \text{in} = 100 , \text{square inches} \]
To find what percent of the park is the picnic area, use the formula:
\[ \text{Percent} = \left(\frac{\text{Area of the picnic area}}{\text{Area of the entire park}}\right) \times 100 \]
Substituting in the areas we found:
\[ \text{Percent} = \left(\frac{100 , \text{square inches}}{400 , \text{square inches}}\right) \times 100 = 25% \]
Thus, the percentage of the park that is the picnic area is 25%.
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