Subjects algebra

Park Area Percent Cff2B6

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1. The problem asks: "Golden Gate Park is about ___ % larger than Central Park." We need to find the percentage increase from Central Park's area to Golden Gate Park's area. 2. The formula for percentage increase is: $$\text{Percentage Increase} = \left(\frac{\text{New Value} - \text{Original Value}}{\text{Original Value}}\right) \times 100$$ 3. Here, the original value is Central Park's area = 843 acres. The new value is Golden Gate Park's area = 1017 acres. 4. Calculate the difference: $$1017 - 843 = 174$$ 5. Substitute into the formula: $$\text{Percentage Increase} = \left(\frac{174}{843}\right) \times 100$$ 6. Simplify the fraction: $$\frac{174}{843} = \frac{\cancel{174}}{\cancel{843}}$$ (Note: 174 and 843 share a common factor 3, so dividing numerator and denominator by 3: $$\frac{174 \div 3}{843 \div 3} = \frac{58}{281}$$) 7. Calculate the decimal value: $$\frac{58}{281} \approx 0.2064$$ 8. Multiply by 100 to get the percentage: $$0.2064 \times 100 = 20.64\%$$ 9. Therefore, Golden Gate Park is about 20.64% larger than Central Park. Final answer: Golden Gate Park is about **20.64%** larger than Central Park.