33. A drawing of a certain park is made to scale so that 1 centimeter represents 14 meters. On the drawing, the length of the park is 9 centimeters and the width of the park is 5.5 centimeters. The length of the actual park is how many meters longer than its width?
Answer: C
The length of the actual park is 49 meters longer than its width.
To determine how much longer the length of the actual park is than its width, first convert the dimensions from centimeters to meters using the scale provided. The actual length is 9 cm × 14 m/cm = 126 m, and the actual width is 5.5 cm × 14 m/cm = 77 m. The difference is 126 m - 77 m = 49 m.
A) 28
Option A is incorrect because the difference calculated from the scaled dimensions does not equate to 28 meters. The actual length and width differ by a greater amount, as shown in the calculations.
B) 35
Option B is also incorrect as it underestimates the difference between the actual length and width of the park. The calculations clearly show that the actual length is significantly longer than 35 meters beyond the width.
C) 49
Option C is correct because it accurately reflects the difference calculated from the scaled dimensions of the park. The length exceeds the width by 49 meters, confirming the correctness of this choice.
D) 56
Option D is incorrect, as it overestimates the difference between the actual length and width of the park. The calculations reveal that the difference is not as large as 56 meters.
E) 63
Option E is incorrect for the same reason. The calculated difference between the actual length and width does not reach 63 meters, indicating that this choice is not supported by the given dimensions.
Conclusion
The correct answer is 49 meters, as this reflects the precise difference between the actual length and width of the park based on the given scale. All other options fail to accurately represent this difference, demonstrating that they are not valid responses based on the measurements provided.