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.
Park Area Percent Cff2B6
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